What is the Least Common Multiple of 60756 and 60763?

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 60756 and 60763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60756 and 60763, than apply into the LCM equation.

GCF(60756,60763) = 1
LCM(60756,60763) = ( 60756 × 60763) / 1
LCM(60756,60763) = 3691716828 / 1
LCM(60756,60763) = 3691716828

Least Common Multiple (LCM) of 60756 and 60763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60756 and 60763. First we will calculate the prime factors of 60756 and 60763.

Prime Factorization of 60756

Prime Factorization of 60763

Now multiplying the highest exponent prime factors to calculate the LCM of 60756 and 60763.

LCM(60756,60763) = 2² × 3¹ × 61¹ × 83¹ × 60763¹
LCM(60756,60763) = 3691716828