What is the Least Common Multiple of 75709 and 75719?

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 75709 and 75719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75709 and 75719, than apply into the LCM equation.

GCF(75709,75719) = 1
LCM(75709,75719) = ( 75709 × 75719) / 1
LCM(75709,75719) = 5732609771 / 1
LCM(75709,75719) = 5732609771

Least Common Multiple (LCM) of 75709 and 75719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75709 and 75719. First we will calculate the prime factors of 75709 and 75719.

Prime Factorization of 75709

Prime Factorization of 75719

Now multiplying the highest exponent prime factors to calculate the LCM of 75709 and 75719.

LCM(75709,75719) = 75709¹ × 7¹ × 29¹ × 373¹
LCM(75709,75719) = 5732609771