What is the Least Common Multiple of 48756 and 48765?

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 48756 and 48765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48756 and 48765, than apply into the LCM equation.

GCF(48756,48765) = 3
LCM(48756,48765) = ( 48756 × 48765) / 3
LCM(48756,48765) = 2377586340 / 3
LCM(48756,48765) = 792528780

Least Common Multiple (LCM) of 48756 and 48765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48756 and 48765. First we will calculate the prime factors of 48756 and 48765.

Prime Factorization of 48756

Prime Factorization of 48765

Now multiplying the highest exponent prime factors to calculate the LCM of 48756 and 48765.

LCM(48756,48765) = 2² × 3¹ × 17¹ × 239¹ × 5¹ × 3251¹
LCM(48756,48765) = 792528780