What is the Least Common Multiple of 28264 and 28278?

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 28264 and 28278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28264 and 28278, than apply into the LCM equation.

GCF(28264,28278) = 2
LCM(28264,28278) = ( 28264 × 28278) / 2
LCM(28264,28278) = 799249392 / 2
LCM(28264,28278) = 399624696

Least Common Multiple (LCM) of 28264 and 28278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28264 and 28278. First we will calculate the prime factors of 28264 and 28278.

Prime Factorization of 28264

Prime Factorization of 28278

Now multiplying the highest exponent prime factors to calculate the LCM of 28264 and 28278.

LCM(28264,28278) = 2³ × 3533¹ × 3² × 1571¹
LCM(28264,28278) = 399624696