What is the Least Common Multiple of 75739 and 75757?

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 75739 and 75757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75739 and 75757, than apply into the LCM equation.

GCF(75739,75757) = 1
LCM(75739,75757) = ( 75739 × 75757) / 1
LCM(75739,75757) = 5737759423 / 1
LCM(75739,75757) = 5737759423

Least Common Multiple (LCM) of 75739 and 75757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75739 and 75757. First we will calculate the prime factors of 75739 and 75757.

Prime Factorization of 75739

Prime Factorization of 75757

Now multiplying the highest exponent prime factors to calculate the LCM of 75739 and 75757.

LCM(75739,75757) = 23¹ × 37¹ × 89¹ × 11¹ × 71¹ × 97¹
LCM(75739,75757) = 5737759423