What is the Least Common Multiple of 72514 and 72530?

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 72530 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 72530, than apply into the LCM equation.

GCF(72514,72530) = 2
LCM(72514,72530) = ( 72514 × 72530) / 2
LCM(72514,72530) = 5259440420 / 2
LCM(72514,72530) = 2629720210

Least Common Multiple (LCM) of 72514 and 72530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72514 and 72530. First we will calculate the prime factors of 72514 and 72530.

Prime Factorization of 72514

Prime Factorization of 72530

Now multiplying the highest exponent prime factors to calculate the LCM of 72514 and 72530.

LCM(72514,72530) = 2¹ × 13¹ × 2789¹ × 5¹ × 7253¹
LCM(72514,72530) = 2629720210