What is the Least Common Multiple of 79728 and 79734?

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 79734 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 79734, than apply into the LCM equation.

GCF(79728,79734) = 6
LCM(79728,79734) = ( 79728 × 79734) / 6
LCM(79728,79734) = 6357032352 / 6
LCM(79728,79734) = 1059505392

Least Common Multiple (LCM) of 79728 and 79734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79728 and 79734. First we will calculate the prime factors of 79728 and 79734.

Prime Factorization of 79728

Prime Factorization of 79734

Now multiplying the highest exponent prime factors to calculate the LCM of 79728 and 79734.

LCM(79728,79734) = 2⁴ × 3¹ × 11¹ × 151¹ × 97¹ × 137¹
LCM(79728,79734) = 1059505392