What is the Least Common Multiple of 62500 and 62509?

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 62500 and 62509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62500 and 62509, than apply into the LCM equation.

GCF(62500,62509) = 1
LCM(62500,62509) = ( 62500 × 62509) / 1
LCM(62500,62509) = 3906812500 / 1
LCM(62500,62509) = 3906812500

Least Common Multiple (LCM) of 62500 and 62509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62500 and 62509. First we will calculate the prime factors of 62500 and 62509.

Prime Factorization of 62500

Prime Factorization of 62509

Now multiplying the highest exponent prime factors to calculate the LCM of 62500 and 62509.

LCM(62500,62509) = 2² × 5⁶ × 17¹ × 3677¹
LCM(62500,62509) = 3906812500