What is the Least Common Multiple of 79728 and 79742?

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 79728 and 79742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79728 and 79742, than apply into the LCM equation.

GCF(79728,79742) = 2
LCM(79728,79742) = ( 79728 × 79742) / 2
LCM(79728,79742) = 6357670176 / 2
LCM(79728,79742) = 3178835088

Least Common Multiple (LCM) of 79728 and 79742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79728 and 79742. First we will calculate the prime factors of 79728 and 79742.

Prime Factorization of 79728

Prime Factorization of 79742

Now multiplying the highest exponent prime factors to calculate the LCM of 79728 and 79742.

LCM(79728,79742) = 2⁴ × 3¹ × 11¹ × 151¹ × 13¹ × 3067¹
LCM(79728,79742) = 3178835088