What is the Least Common Multiple of 4272 and 4278?

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 of 4272 and 4278 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 4278, than apply into the LCM equation.

GCF(4272,4278) = 6
LCM(4272,4278) = ( 4272 × 4278) / 6
LCM(4272,4278) = 18275616 / 6
LCM(4272,4278) = 3045936

Least Common Multiple (LCM) of 4272 and 4278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4278. First we will calculate the prime factors of 4272 and 4278.

Prime Factorization of 4272

Prime Factorization of 4278

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4278.

LCM(4272,4278) = 2⁴ × 3¹ × 89¹ × 23¹ × 31¹
LCM(4272,4278) = 3045936