What is the Least Common Multiple of 79488 and 79492?

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 79488 and 79492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79488 and 79492, than apply into the LCM equation.

GCF(79488,79492) = 4
LCM(79488,79492) = ( 79488 × 79492) / 4
LCM(79488,79492) = 6318660096 / 4
LCM(79488,79492) = 1579665024

Least Common Multiple (LCM) of 79488 and 79492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79488 and 79492. First we will calculate the prime factors of 79488 and 79492.

Prime Factorization of 79488

Prime Factorization of 79492

Now multiplying the highest exponent prime factors to calculate the LCM of 79488 and 79492.

LCM(79488,79492) = 2⁷ × 3³ × 23¹ × 7¹ × 17¹ × 167¹
LCM(79488,79492) = 1579665024