What is the Least Common Multiple of 79656 and 79665?

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 79656 and 79665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79656 and 79665, than apply into the LCM equation.

GCF(79656,79665) = 3
LCM(79656,79665) = ( 79656 × 79665) / 3
LCM(79656,79665) = 6345795240 / 3
LCM(79656,79665) = 2115265080

Least Common Multiple (LCM) of 79656 and 79665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79656 and 79665. First we will calculate the prime factors of 79656 and 79665.

Prime Factorization of 79656

Prime Factorization of 79665

Now multiplying the highest exponent prime factors to calculate the LCM of 79656 and 79665.

LCM(79656,79665) = 2³ × 3¹ × 3319¹ × 5¹ × 47¹ × 113¹
LCM(79656,79665) = 2115265080