What is the Least Common Multiple of 62493 and 62499?

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 62493 and 62499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62493 and 62499, than apply into the LCM equation.

GCF(62493,62499) = 3
LCM(62493,62499) = ( 62493 × 62499) / 3
LCM(62493,62499) = 3905750007 / 3
LCM(62493,62499) = 1301916669

Least Common Multiple (LCM) of 62493 and 62499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62493 and 62499. First we will calculate the prime factors of 62493 and 62499.

Prime Factorization of 62493

Prime Factorization of 62499

Now multiplying the highest exponent prime factors to calculate the LCM of 62493 and 62499.

LCM(62493,62499) = 3¹ × 37¹ × 563¹ × 83¹ × 251¹
LCM(62493,62499) = 1301916669