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What is the Least Common Multiple of 30932 and 30940?

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 30940 is 239259020.

LCM(30932,30940) = 239259020

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Least Common Multiple of 30932 and 30940 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 30940, than apply into the LCM equation.

GCF(30932,30940) = 4
LCM(30932,30940) = ( 30932 × 30940) / 4
LCM(30932,30940) = 957036080 / 4
LCM(30932,30940) = 239259020

Least Common Multiple (LCM) of 30932 and 30940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30932 and 30940. First we will calculate the prime factors of 30932 and 30940.

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 30940

Prime factors of 30940 are 2, 5, 7, 13, 17. Prime factorization of 30940 in exponential form is:

30940 = 22 × 51 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 30932 and 30940.

LCM(30932,30940) = 22 × 111 × 191 × 371 × 51 × 71 × 131 × 171
LCM(30932,30940) = 239259020