What is the Least Common Multiple of 72460 and 72464?

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 72460 and 72464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72460 and 72464, than apply into the LCM equation.

GCF(72460,72464) = 4
LCM(72460,72464) = ( 72460 × 72464) / 4
LCM(72460,72464) = 5250741440 / 4
LCM(72460,72464) = 1312685360

Least Common Multiple (LCM) of 72460 and 72464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72460 and 72464. First we will calculate the prime factors of 72460 and 72464.

Prime Factorization of 72460

Prime Factorization of 72464

Now multiplying the highest exponent prime factors to calculate the LCM of 72460 and 72464.

LCM(72460,72464) = 2⁴ × 5¹ × 3623¹ × 7¹ × 647¹
LCM(72460,72464) = 1312685360