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What is the Least Common Multiple of 4272 and 4276?

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 4272 and 4276 is 4566768.

LCM(4272,4276) = 4566768

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Least Common Multiple of 4272 and 4276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4272 and 4276, than apply into the LCM equation.

GCF(4272,4276) = 4
LCM(4272,4276) = ( 4272 × 4276) / 4
LCM(4272,4276) = 18267072 / 4
LCM(4272,4276) = 4566768

Least Common Multiple (LCM) of 4272 and 4276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4276. First we will calculate the prime factors of 4272 and 4276.

Prime Factorization of 4272

Prime factors of 4272 are 2, 3, 89. Prime factorization of 4272 in exponential form is:

4272 = 24 × 31 × 891

Prime Factorization of 4276

Prime factors of 4276 are 2, 1069. Prime factorization of 4276 in exponential form is:

4276 = 22 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4276.

LCM(4272,4276) = 24 × 31 × 891 × 10691
LCM(4272,4276) = 4566768