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What is the Least Common Multiple of 4312 and 4331?

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 4331 is 18675272.

LCM(4312,4331) = 18675272

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Least Common Multiple of 4312 and 4331 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 4331, than apply into the LCM equation.

GCF(4312,4331) = 1
LCM(4312,4331) = ( 4312 × 4331) / 1
LCM(4312,4331) = 18675272 / 1
LCM(4312,4331) = 18675272

Least Common Multiple (LCM) of 4312 and 4331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4312 and 4331. First we will calculate the prime factors of 4312 and 4331.

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 4331

Prime factors of 4331 are 61, 71. Prime factorization of 4331 in exponential form is:

4331 = 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4312 and 4331.

LCM(4312,4331) = 23 × 72 × 111 × 611 × 711
LCM(4312,4331) = 18675272