What is the Least Common Multiple of 62496 and 62514?

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 62514 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 62514, than apply into the LCM equation.

GCF(62496,62514) = 18
LCM(62496,62514) = ( 62496 × 62514) / 18
LCM(62496,62514) = 3906874944 / 18
LCM(62496,62514) = 217048608

Least Common Multiple (LCM) of 62496 and 62514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62496 and 62514. First we will calculate the prime factors of 62496 and 62514.

Prime Factorization of 62496

Prime Factorization of 62514

Now multiplying the highest exponent prime factors to calculate the LCM of 62496 and 62514.

LCM(62496,62514) = 2⁵ × 3² × 7¹ × 31¹ × 23¹ × 151¹
LCM(62496,62514) = 217048608