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Number Theory

Level 19 / build-up

LCM (<= 35)

4 visual steps / LCM via GCD

1. Find GCD

LCM(21, 35)1. Find GCDGet the shared factor first.1GCD = 7221 x 35 / 73LCM = 105
Get the shared factor first.

Get the shared factor first.

2. Multiply pair

LCM(21, 35)2. Multiply pairMultiply the two original numbers.1GCD = 7221 x 35 / 73LCM = 105
Multiply the two original numbers.

Multiply the two original numbers.

3. Divide GCD

LCM(21, 35)3. Divide GCDDivide by the shared factor.1GCD = 7221 x 35 / 73LCM = 105
Divide by the shared factor.

Divide by the shared factor.

4. Check

LCM(21, 35)4. CheckUse GCD x LCM = product when relevant.1GCD = 7221 x 35 / 73LCM = 105
Use GCD x LCM = product when relevant.

Use GCD x LCM = product when relevant.

Practice Level 19

Use the visible move, then type only when the answer is clear.

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