What is the Least Common Multiple of 28714 and 28732?

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 28714 and 28732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28714 and 28732, than apply into the LCM equation.

GCF(28714,28732) = 2
LCM(28714,28732) = ( 28714 × 28732) / 2
LCM(28714,28732) = 825010648 / 2
LCM(28714,28732) = 412505324

Least Common Multiple (LCM) of 28714 and 28732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28714 and 28732. First we will calculate the prime factors of 28714 and 28732.

Prime Factorization of 28714

Prime Factorization of 28732

Now multiplying the highest exponent prime factors to calculate the LCM of 28714 and 28732.

LCM(28714,28732) = 2² × 7² × 293¹ × 11¹ × 653¹
LCM(28714,28732) = 412505324