What is the Least Common Multiple of 72514 and 72520?

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 72514 and 72520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72514 and 72520, than apply into the LCM equation.

GCF(72514,72520) = 2
LCM(72514,72520) = ( 72514 × 72520) / 2
LCM(72514,72520) = 5258715280 / 2
LCM(72514,72520) = 2629357640

Least Common Multiple (LCM) of 72514 and 72520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72514 and 72520. First we will calculate the prime factors of 72514 and 72520.

Prime Factorization of 72514

Prime Factorization of 72520

Now multiplying the highest exponent prime factors to calculate the LCM of 72514 and 72520.

LCM(72514,72520) = 2³ × 13¹ × 2789¹ × 5¹ × 7² × 37¹
LCM(72514,72520) = 2629357640