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What is the Least Common Multiple of 4312 and 4329?

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 4312 and 4329 is 18666648.

LCM(4312,4329) = 18666648

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Least Common Multiple of 4312 and 4329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4312 and 4329, than apply into the LCM equation.

GCF(4312,4329) = 1
LCM(4312,4329) = ( 4312 × 4329) / 1
LCM(4312,4329) = 18666648 / 1
LCM(4312,4329) = 18666648

Least Common Multiple (LCM) of 4312 and 4329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4312 and 4329. First we will calculate the prime factors of 4312 and 4329.

Prime Factorization of 4312

Prime factors of 4312 are 2, 7, 11. Prime factorization of 4312 in exponential form is:

4312 = 23 × 72 × 111

Prime Factorization of 4329

Prime factors of 4329 are 3, 13, 37. Prime factorization of 4329 in exponential form is:

4329 = 32 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4312 and 4329.

LCM(4312,4329) = 23 × 72 × 111 × 32 × 131 × 371
LCM(4312,4329) = 18666648