What is the Least Common Multiple of 79566 and 79585?

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 79566 and 79585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79566 and 79585, than apply into the LCM equation.

GCF(79566,79585) = 1
LCM(79566,79585) = ( 79566 × 79585) / 1
LCM(79566,79585) = 6332260110 / 1
LCM(79566,79585) = 6332260110

Least Common Multiple (LCM) of 79566 and 79585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79566 and 79585. First we will calculate the prime factors of 79566 and 79585.

Prime Factorization of 79566

Prime Factorization of 79585

Now multiplying the highest exponent prime factors to calculate the LCM of 79566 and 79585.

LCM(79566,79585) = 2¹ × 3¹ × 89¹ × 149¹ × 5¹ × 11¹ × 1447¹
LCM(79566,79585) = 6332260110