What is the Least Common Multiple of 72480 and 72490?

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 72480 and 72490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72480 and 72490, than apply into the LCM equation.

GCF(72480,72490) = 10
LCM(72480,72490) = ( 72480 × 72490) / 10
LCM(72480,72490) = 5254075200 / 10
LCM(72480,72490) = 525407520

Least Common Multiple (LCM) of 72480 and 72490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72480 and 72490. First we will calculate the prime factors of 72480 and 72490.

Prime Factorization of 72480

Prime Factorization of 72490

Now multiplying the highest exponent prime factors to calculate the LCM of 72480 and 72490.

LCM(72480,72490) = 2⁵ × 3¹ × 5¹ × 151¹ × 11¹ × 659¹
LCM(72480,72490) = 525407520