What is the Least Common Multiple of 70548 and 70563?

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 70548 and 70563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70548 and 70563, than apply into the LCM equation.

GCF(70548,70563) = 3
LCM(70548,70563) = ( 70548 × 70563) / 3
LCM(70548,70563) = 4978078524 / 3
LCM(70548,70563) = 1659359508

Least Common Multiple (LCM) of 70548 and 70563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70548 and 70563. First we will calculate the prime factors of 70548 and 70563.

Prime Factorization of 70548

Prime Factorization of 70563

Now multiplying the highest exponent prime factors to calculate the LCM of 70548 and 70563.

LCM(70548,70563) = 2² × 3¹ × 5879¹ × 43¹ × 547¹
LCM(70548,70563) = 1659359508