What is the Least Common Multiple of 78609 and 78629?

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 78609 and 78629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78609 and 78629, than apply into the LCM equation.

GCF(78609,78629) = 1
LCM(78609,78629) = ( 78609 × 78629) / 1
LCM(78609,78629) = 6180947061 / 1
LCM(78609,78629) = 6180947061

Least Common Multiple (LCM) of 78609 and 78629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78609 and 78629. First we will calculate the prime factors of 78609 and 78629.

Prime Factorization of 78609

Prime Factorization of 78629

Now multiplying the highest exponent prime factors to calculate the LCM of 78609 and 78629.

LCM(78609,78629) = 3¹ × 26203¹ × 61¹ × 1289¹
LCM(78609,78629) = 6180947061