What is the Least Common Multiple of 62496 and 62501?

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 62496 and 62501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62496 and 62501, than apply into the LCM equation.

GCF(62496,62501) = 1
LCM(62496,62501) = ( 62496 × 62501) / 1
LCM(62496,62501) = 3906062496 / 1
LCM(62496,62501) = 3906062496

Least Common Multiple (LCM) of 62496 and 62501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62496 and 62501. First we will calculate the prime factors of 62496 and 62501.

Prime Factorization of 62496

Prime Factorization of 62501

Now multiplying the highest exponent prime factors to calculate the LCM of 62496 and 62501.

LCM(62496,62501) = 2⁵ × 3² × 7¹ × 31¹ × 62501¹
LCM(62496,62501) = 3906062496