What is the Least Common Multiple of 72474 and 72480?

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 72474 and 72480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72474 and 72480, than apply into the LCM equation.

GCF(72474,72480) = 6
LCM(72474,72480) = ( 72474 × 72480) / 6
LCM(72474,72480) = 5252915520 / 6
LCM(72474,72480) = 875485920

Least Common Multiple (LCM) of 72474 and 72480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72474 and 72480. First we will calculate the prime factors of 72474 and 72480.

Prime Factorization of 72474

Prime Factorization of 72480

Now multiplying the highest exponent prime factors to calculate the LCM of 72474 and 72480.

LCM(72474,72480) = 2⁵ × 3¹ × 47¹ × 257¹ × 5¹ × 151¹
LCM(72474,72480) = 875485920