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What is the Least Common Multiple of 30932 and 30945?

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 30932 and 30945 is 957190740.

LCM(30932,30945) = 957190740

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Least Common Multiple of 30932 and 30945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30932 and 30945, than apply into the LCM equation.

GCF(30932,30945) = 1
LCM(30932,30945) = ( 30932 × 30945) / 1
LCM(30932,30945) = 957190740 / 1
LCM(30932,30945) = 957190740

Least Common Multiple (LCM) of 30932 and 30945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30932 and 30945. First we will calculate the prime factors of 30932 and 30945.

Prime Factorization of 30932

Prime factors of 30932 are 2, 11, 19, 37. Prime factorization of 30932 in exponential form is:

30932 = 22 × 111 × 191 × 371

Prime Factorization of 30945

Prime factors of 30945 are 3, 5, 2063. Prime factorization of 30945 in exponential form is:

30945 = 31 × 51 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 30932 and 30945.

LCM(30932,30945) = 22 × 111 × 191 × 371 × 31 × 51 × 20631
LCM(30932,30945) = 957190740