What is the Least Common Multiple of 79695 and 79704?

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 79695 and 79704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79695 and 79704, than apply into the LCM equation.

GCF(79695,79704) = 9
LCM(79695,79704) = ( 79695 × 79704) / 9
LCM(79695,79704) = 6352010280 / 9
LCM(79695,79704) = 705778920

Least Common Multiple (LCM) of 79695 and 79704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79695 and 79704. First we will calculate the prime factors of 79695 and 79704.

Prime Factorization of 79695

Prime Factorization of 79704

Now multiplying the highest exponent prime factors to calculate the LCM of 79695 and 79704.

LCM(79695,79704) = 3⁵ × 5¹ × 7¹ × 11¹ × 23¹ × 2³ × 41¹
LCM(79695,79704) = 705778920