GCF and LCM Calculator Logo

What is the Least Common Multiple of 4272 and 4287?

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 4287 is 6104688.

LCM(4272,4287) = 6104688

LCM Calculator and
and

Least Common Multiple of 4272 and 4287 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 4287, than apply into the LCM equation.

GCF(4272,4287) = 3
LCM(4272,4287) = ( 4272 × 4287) / 3
LCM(4272,4287) = 18314064 / 3
LCM(4272,4287) = 6104688

Least Common Multiple (LCM) of 4272 and 4287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4287. First we will calculate the prime factors of 4272 and 4287.

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 4287

Prime factors of 4287 are 3, 1429. Prime factorization of 4287 in exponential form is:

4287 = 31 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4287.

LCM(4272,4287) = 24 × 31 × 891 × 14291
LCM(4272,4287) = 6104688