What is the Least Common Multiple of 62509 and 62518?

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 62509 and 62518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62509 and 62518, than apply into the LCM equation.

GCF(62509,62518) = 1
LCM(62509,62518) = ( 62509 × 62518) / 1
LCM(62509,62518) = 3907937662 / 1
LCM(62509,62518) = 3907937662

Least Common Multiple (LCM) of 62509 and 62518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62509 and 62518. First we will calculate the prime factors of 62509 and 62518.

Prime Factorization of 62509

Prime Factorization of 62518

Now multiplying the highest exponent prime factors to calculate the LCM of 62509 and 62518.

LCM(62509,62518) = 17¹ × 3677¹ × 2¹ × 31259¹
LCM(62509,62518) = 3907937662