What is the Least Common Multiple of 79704 and 79716?

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 79704 and 79716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79704 and 79716, than apply into the LCM equation.

GCF(79704,79716) = 12
LCM(79704,79716) = ( 79704 × 79716) / 12
LCM(79704,79716) = 6353684064 / 12
LCM(79704,79716) = 529473672

Least Common Multiple (LCM) of 79704 and 79716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79704 and 79716. First we will calculate the prime factors of 79704 and 79716.

Prime Factorization of 79704

Prime Factorization of 79716

Now multiplying the highest exponent prime factors to calculate the LCM of 79704 and 79716.

LCM(79704,79716) = 2³ × 3⁵ × 41¹ × 7¹ × 13¹ × 73¹
LCM(79704,79716) = 529473672