What is the Least Common Multiple of 79692 and 79711?

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 79692 and 79711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79692 and 79711, than apply into the LCM equation.

GCF(79692,79711) = 1
LCM(79692,79711) = ( 79692 × 79711) / 1
LCM(79692,79711) = 6352329012 / 1
LCM(79692,79711) = 6352329012

Least Common Multiple (LCM) of 79692 and 79711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79692 and 79711. First we will calculate the prime factors of 79692 and 79711.

Prime Factorization of 79692

Prime Factorization of 79711

Now multiplying the highest exponent prime factors to calculate the LCM of 79692 and 79711.

LCM(79692,79711) = 2² × 3¹ × 29¹ × 229¹ × 79¹ × 1009¹
LCM(79692,79711) = 6352329012