What is the Least Common Multiple of 79548 and 79563?

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 79548 and 79563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79548 and 79563, than apply into the LCM equation.

GCF(79548,79563) = 3
LCM(79548,79563) = ( 79548 × 79563) / 3
LCM(79548,79563) = 6329077524 / 3
LCM(79548,79563) = 2109692508

Least Common Multiple (LCM) of 79548 and 79563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79548 and 79563. First we will calculate the prime factors of 79548 and 79563.

Prime Factorization of 79548

Prime Factorization of 79563

Now multiplying the highest exponent prime factors to calculate the LCM of 79548 and 79563.

LCM(79548,79563) = 2² × 3¹ × 7¹ × 947¹ × 11¹ × 2411¹
LCM(79548,79563) = 2109692508