What is the Least Common Multiple of 80751 and 80757?

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 80751 and 80757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80751 and 80757, than apply into the LCM equation.

GCF(80751,80757) = 3
LCM(80751,80757) = ( 80751 × 80757) / 3
LCM(80751,80757) = 6521208507 / 3
LCM(80751,80757) = 2173736169

Least Common Multiple (LCM) of 80751 and 80757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80751 and 80757. First we will calculate the prime factors of 80751 and 80757.

Prime Factorization of 80751

Prime Factorization of 80757

Now multiplying the highest exponent prime factors to calculate the LCM of 80751 and 80757.

LCM(80751,80757) = 3⁴ × 11¹ × 2447¹ × 997¹
LCM(80751,80757) = 2173736169