What is the Least Common Multiple of 76739 and 76759?

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 76739 and 76759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76739 and 76759, than apply into the LCM equation.

GCF(76739,76759) = 1
LCM(76739,76759) = ( 76739 × 76759) / 1
LCM(76739,76759) = 5890408901 / 1
LCM(76739,76759) = 5890408901

Least Common Multiple (LCM) of 76739 and 76759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76739 and 76759. First we will calculate the prime factors of 76739 and 76759.

Prime Factorization of 76739

Prime Factorization of 76759

Now multiplying the highest exponent prime factors to calculate the LCM of 76739 and 76759.

LCM(76739,76759) = 13¹ × 5903¹ × 59¹ × 1301¹
LCM(76739,76759) = 5890408901