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What is the Least Common Multiple of 4752 and 4771?

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 4752 and 4771 is 22671792.

LCM(4752,4771) = 22671792

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Least Common Multiple of 4752 and 4771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4752 and 4771, than apply into the LCM equation.

GCF(4752,4771) = 1
LCM(4752,4771) = ( 4752 × 4771) / 1
LCM(4752,4771) = 22671792 / 1
LCM(4752,4771) = 22671792

Least Common Multiple (LCM) of 4752 and 4771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4752 and 4771. First we will calculate the prime factors of 4752 and 4771.

Prime Factorization of 4752

Prime factors of 4752 are 2, 3, 11. Prime factorization of 4752 in exponential form is:

4752 = 24 × 33 × 111

Prime Factorization of 4771

Prime factors of 4771 are 13, 367. Prime factorization of 4771 in exponential form is:

4771 = 131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4752 and 4771.

LCM(4752,4771) = 24 × 33 × 111 × 131 × 3671
LCM(4752,4771) = 22671792