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What is the Least Common Multiple of 4708 and 4727?

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 4708 and 4727 is 22254716.

LCM(4708,4727) = 22254716

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Least Common Multiple of 4708 and 4727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4708 and 4727, than apply into the LCM equation.

GCF(4708,4727) = 1
LCM(4708,4727) = ( 4708 × 4727) / 1
LCM(4708,4727) = 22254716 / 1
LCM(4708,4727) = 22254716

Least Common Multiple (LCM) of 4708 and 4727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4708 and 4727. First we will calculate the prime factors of 4708 and 4727.

Prime Factorization of 4708

Prime factors of 4708 are 2, 11, 107. Prime factorization of 4708 in exponential form is:

4708 = 22 × 111 × 1071

Prime Factorization of 4727

Prime factors of 4727 are 29, 163. Prime factorization of 4727 in exponential form is:

4727 = 291 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4708 and 4727.

LCM(4708,4727) = 22 × 111 × 1071 × 291 × 1631
LCM(4708,4727) = 22254716