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What is the Least Common Multiple of 922 and 934?

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 922 and 934 is 430574.

LCM(922,934) = 430574

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Least Common Multiple of 922 and 934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 922 and 934, than apply into the LCM equation.

GCF(922,934) = 2
LCM(922,934) = ( 922 × 934) / 2
LCM(922,934) = 861148 / 2
LCM(922,934) = 430574

Least Common Multiple (LCM) of 922 and 934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 934. First we will calculate the prime factors of 922 and 934.

Prime Factorization of 922

Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:

922 = 21 × 4611

Prime Factorization of 934

Prime factors of 934 are 2, 467. Prime factorization of 934 in exponential form is:

934 = 21 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 922 and 934.

LCM(922,934) = 21 × 4611 × 4671
LCM(922,934) = 430574