What is the Least Common Multiple of 79562 and 79578?

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 79562 and 79578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79562 and 79578, than apply into the LCM equation.

GCF(79562,79578) = 2
LCM(79562,79578) = ( 79562 × 79578) / 2
LCM(79562,79578) = 6331384836 / 2
LCM(79562,79578) = 3165692418

Least Common Multiple (LCM) of 79562 and 79578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79562 and 79578. First we will calculate the prime factors of 79562 and 79578.

Prime Factorization of 79562

Prime Factorization of 79578

Now multiplying the highest exponent prime factors to calculate the LCM of 79562 and 79578.

LCM(79562,79578) = 2¹ × 7¹ × 5683¹ × 3² × 4421¹
LCM(79562,79578) = 3165692418