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What is the Least Common Multiple of 4592 and 4607?

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 4592 and 4607 is 21155344.

LCM(4592,4607) = 21155344

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Least Common Multiple of 4592 and 4607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4592 and 4607, than apply into the LCM equation.

GCF(4592,4607) = 1
LCM(4592,4607) = ( 4592 × 4607) / 1
LCM(4592,4607) = 21155344 / 1
LCM(4592,4607) = 21155344

Least Common Multiple (LCM) of 4592 and 4607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4607. First we will calculate the prime factors of 4592 and 4607.

Prime Factorization of 4592

Prime factors of 4592 are 2, 7, 41. Prime factorization of 4592 in exponential form is:

4592 = 24 × 71 × 411

Prime Factorization of 4607

Prime factors of 4607 are 17, 271. Prime factorization of 4607 in exponential form is:

4607 = 171 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 4592 and 4607.

LCM(4592,4607) = 24 × 71 × 411 × 171 × 2711
LCM(4592,4607) = 21155344