What is the Least Common Multiple of 79536 and 79542?

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 79536 and 79542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79536 and 79542, than apply into the LCM equation.

GCF(79536,79542) = 6
LCM(79536,79542) = ( 79536 × 79542) / 6
LCM(79536,79542) = 6326452512 / 6
LCM(79536,79542) = 1054408752

Least Common Multiple (LCM) of 79536 and 79542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79536 and 79542. First we will calculate the prime factors of 79536 and 79542.

Prime Factorization of 79536

Prime Factorization of 79542

Now multiplying the highest exponent prime factors to calculate the LCM of 79536 and 79542.

LCM(79536,79542) = 2⁴ × 3⁴ × 1657¹ × 491¹
LCM(79536,79542) = 1054408752