What is the Least Common Multiple of 79428 and 79443?

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 79428 and 79443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79428 and 79443, than apply into the LCM equation.

GCF(79428,79443) = 3
LCM(79428,79443) = ( 79428 × 79443) / 3
LCM(79428,79443) = 6309998604 / 3
LCM(79428,79443) = 2103332868

Least Common Multiple (LCM) of 79428 and 79443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79428 and 79443. First we will calculate the prime factors of 79428 and 79443.

Prime Factorization of 79428

Prime Factorization of 79443

Now multiplying the highest exponent prime factors to calculate the LCM of 79428 and 79443.

LCM(79428,79443) = 2² × 3² × 6619¹ × 7¹ × 13¹ × 97¹
LCM(79428,79443) = 2103332868