What is the Least Common Multiple of 79651 and 79669?

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 79651 and 79669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79651 and 79669, than apply into the LCM equation.

GCF(79651,79669) = 1
LCM(79651,79669) = ( 79651 × 79669) / 1
LCM(79651,79669) = 6345715519 / 1
LCM(79651,79669) = 6345715519

Least Common Multiple (LCM) of 79651 and 79669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79651 and 79669. First we will calculate the prime factors of 79651 and 79669.

Prime Factorization of 79651

Prime Factorization of 79669

Now multiplying the highest exponent prime factors to calculate the LCM of 79651 and 79669.

LCM(79651,79669) = 11¹ × 13¹ × 557¹ × 79669¹
LCM(79651,79669) = 6345715519