What is the Least Common Multiple of 28712 and 28726?

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 28712 and 28726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28712 and 28726, than apply into the LCM equation.

GCF(28712,28726) = 2
LCM(28712,28726) = ( 28712 × 28726) / 2
LCM(28712,28726) = 824780912 / 2
LCM(28712,28726) = 412390456

Least Common Multiple (LCM) of 28712 and 28726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28712 and 28726. First we will calculate the prime factors of 28712 and 28726.

Prime Factorization of 28712

Prime Factorization of 28726

Now multiplying the highest exponent prime factors to calculate the LCM of 28712 and 28726.

LCM(28712,28726) = 2³ × 37¹ × 97¹ × 53¹ × 271¹
LCM(28712,28726) = 412390456