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What is the Least Common Multiple of 30922 and 30938?

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 30922 and 30938 is 478332418.

LCM(30922,30938) = 478332418

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Least Common Multiple of 30922 and 30938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30922 and 30938, than apply into the LCM equation.

GCF(30922,30938) = 2
LCM(30922,30938) = ( 30922 × 30938) / 2
LCM(30922,30938) = 956664836 / 2
LCM(30922,30938) = 478332418

Least Common Multiple (LCM) of 30922 and 30938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30922 and 30938. First we will calculate the prime factors of 30922 and 30938.

Prime Factorization of 30922

Prime factors of 30922 are 2, 15461. Prime factorization of 30922 in exponential form is:

30922 = 21 × 154611

Prime Factorization of 30938

Prime factors of 30938 are 2, 31, 499. Prime factorization of 30938 in exponential form is:

30938 = 21 × 311 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 30922 and 30938.

LCM(30922,30938) = 21 × 154611 × 311 × 4991
LCM(30922,30938) = 478332418