What is the Least Common Multiple of 60751 and 60771?

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 60751 and 60771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60751 and 60771, than apply into the LCM equation.

GCF(60751,60771) = 1
LCM(60751,60771) = ( 60751 × 60771) / 1
LCM(60751,60771) = 3691899021 / 1
LCM(60751,60771) = 3691899021

Least Common Multiple (LCM) of 60751 and 60771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60751 and 60771. First we will calculate the prime factors of 60751 and 60771.

Prime Factorization of 60751

Prime Factorization of 60771

Now multiplying the highest exponent prime factors to calculate the LCM of 60751 and 60771.

LCM(60751,60771) = 79¹ × 769¹ × 3¹ × 47¹ × 431¹
LCM(60751,60771) = 3691899021