What is the Least Common Multiple of 70548 and 70560?

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 70560 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 70560, than apply into the LCM equation.

GCF(70548,70560) = 12
LCM(70548,70560) = ( 70548 × 70560) / 12
LCM(70548,70560) = 4977866880 / 12
LCM(70548,70560) = 414822240

Least Common Multiple (LCM) of 70548 and 70560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70548 and 70560. First we will calculate the prime factors of 70548 and 70560.

Prime Factorization of 70548

Prime Factorization of 70560

Now multiplying the highest exponent prime factors to calculate the LCM of 70548 and 70560.

LCM(70548,70560) = 2⁵ × 3² × 5879¹ × 5¹ × 7²
LCM(70548,70560) = 414822240