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What is the Least Common Multiple of 929 and 938?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 929 and 938 is 871402.

LCM(929,938) = 871402

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Least Common Multiple of 929 and 938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 929 and 938, than apply into the LCM equation.

GCF(929,938) = 1
LCM(929,938) = ( 929 × 938) / 1
LCM(929,938) = 871402 / 1
LCM(929,938) = 871402

Least Common Multiple (LCM) of 929 and 938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 938. First we will calculate the prime factors of 929 and 938.

Prime Factorization of 929

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 9291

Prime Factorization of 938

Prime factors of 938 are 2, 7, 67. Prime factorization of 938 in exponential form is:

938 = 21 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 938.

LCM(929,938) = 9291 × 21 × 71 × 671
LCM(929,938) = 871402