What is the Least Common Multiple of 75679 and 75699?

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 75679 and 75699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75679 and 75699, than apply into the LCM equation.

GCF(75679,75699) = 1
LCM(75679,75699) = ( 75679 × 75699) / 1
LCM(75679,75699) = 5728824621 / 1
LCM(75679,75699) = 5728824621

Least Common Multiple (LCM) of 75679 and 75699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75679 and 75699. First we will calculate the prime factors of 75679 and 75699.

Prime Factorization of 75679

Prime Factorization of 75699

Now multiplying the highest exponent prime factors to calculate the LCM of 75679 and 75699.

LCM(75679,75699) = 75679¹ × 3² × 13¹ × 647¹
LCM(75679,75699) = 5728824621