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What is the Least Common Multiple of 8439 and 8457?

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 8439 and 8457 is 23789541.

LCM(8439,8457) = 23789541

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Least Common Multiple of 8439 and 8457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8439 and 8457, than apply into the LCM equation.

GCF(8439,8457) = 3
LCM(8439,8457) = ( 8439 × 8457) / 3
LCM(8439,8457) = 71368623 / 3
LCM(8439,8457) = 23789541

Least Common Multiple (LCM) of 8439 and 8457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8457. First we will calculate the prime factors of 8439 and 8457.

Prime Factorization of 8439

Prime factors of 8439 are 3, 29, 97. Prime factorization of 8439 in exponential form is:

8439 = 31 × 291 × 971

Prime Factorization of 8457

Prime factors of 8457 are 3, 2819. Prime factorization of 8457 in exponential form is:

8457 = 31 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 8439 and 8457.

LCM(8439,8457) = 31 × 291 × 971 × 28191
LCM(8439,8457) = 23789541