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What is the Least Common Multiple of 4566 and 4586?

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 4566 and 4586 is 10469838.

LCM(4566,4586) = 10469838

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Least Common Multiple of 4566 and 4586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4566 and 4586, than apply into the LCM equation.

GCF(4566,4586) = 2
LCM(4566,4586) = ( 4566 × 4586) / 2
LCM(4566,4586) = 20939676 / 2
LCM(4566,4586) = 10469838

Least Common Multiple (LCM) of 4566 and 4586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4566 and 4586. First we will calculate the prime factors of 4566 and 4586.

Prime Factorization of 4566

Prime factors of 4566 are 2, 3, 761. Prime factorization of 4566 in exponential form is:

4566 = 21 × 31 × 7611

Prime Factorization of 4586

Prime factors of 4586 are 2, 2293. Prime factorization of 4586 in exponential form is:

4586 = 21 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 4566 and 4586.

LCM(4566,4586) = 21 × 31 × 7611 × 22931
LCM(4566,4586) = 10469838