What is the Least Common Multiple of 4272 and 4286?

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 4286 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 4286, than apply into the LCM equation.

GCF(4272,4286) = 2
LCM(4272,4286) = ( 4272 × 4286) / 2
LCM(4272,4286) = 18309792 / 2
LCM(4272,4286) = 9154896

Least Common Multiple (LCM) of 4272 and 4286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4286. First we will calculate the prime factors of 4272 and 4286.

Prime Factorization of 4272

Prime Factorization of 4286

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4286.

LCM(4272,4286) = 2⁴ × 3¹ × 89¹ × 2143¹
LCM(4272,4286) = 9154896