What is the Least Common Multiple of 79752 and 79770?

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 79752 and 79770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79752 and 79770, than apply into the LCM equation.

GCF(79752,79770) = 6
LCM(79752,79770) = ( 79752 × 79770) / 6
LCM(79752,79770) = 6361817040 / 6
LCM(79752,79770) = 1060302840

Least Common Multiple (LCM) of 79752 and 79770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79752 and 79770. First we will calculate the prime factors of 79752 and 79770.

Prime Factorization of 79752

Prime Factorization of 79770

Now multiplying the highest exponent prime factors to calculate the LCM of 79752 and 79770.

LCM(79752,79770) = 2³ × 3¹ × 3323¹ × 5¹ × 2659¹
LCM(79752,79770) = 1060302840