What is the Least Common Multiple of 79452 and 79470?

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 79452 and 79470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79452 and 79470, than apply into the LCM equation.

GCF(79452,79470) = 18
LCM(79452,79470) = ( 79452 × 79470) / 18
LCM(79452,79470) = 6314050440 / 18
LCM(79452,79470) = 350780580

Least Common Multiple (LCM) of 79452 and 79470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79452 and 79470. First we will calculate the prime factors of 79452 and 79470.

Prime Factorization of 79452

Prime Factorization of 79470

Now multiplying the highest exponent prime factors to calculate the LCM of 79452 and 79470.

LCM(79452,79470) = 2² × 3² × 2207¹ × 5¹ × 883¹
LCM(79452,79470) = 350780580