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What is the Least Common Multiple of 32344 and 32357?

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 32344 and 32357 is 80504216.

LCM(32344,32357) = 80504216

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Least Common Multiple of 32344 and 32357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32344 and 32357, than apply into the LCM equation.

GCF(32344,32357) = 13
LCM(32344,32357) = ( 32344 × 32357) / 13
LCM(32344,32357) = 1046554808 / 13
LCM(32344,32357) = 80504216

Least Common Multiple (LCM) of 32344 and 32357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32344 and 32357. First we will calculate the prime factors of 32344 and 32357.

Prime Factorization of 32344

Prime factors of 32344 are 2, 13, 311. Prime factorization of 32344 in exponential form is:

32344 = 23 × 131 × 3111

Prime Factorization of 32357

Prime factors of 32357 are 13, 19, 131. Prime factorization of 32357 in exponential form is:

32357 = 131 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 32344 and 32357.

LCM(32344,32357) = 23 × 131 × 3111 × 191 × 1311
LCM(32344,32357) = 80504216