What is the Least Common Multiple of 62478 and 62496?

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 62478 and 62496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62478 and 62496, than apply into the LCM equation.

GCF(62478,62496) = 18
LCM(62478,62496) = ( 62478 × 62496) / 18
LCM(62478,62496) = 3904625088 / 18
LCM(62478,62496) = 216923616

Least Common Multiple (LCM) of 62478 and 62496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62478 and 62496. First we will calculate the prime factors of 62478 and 62496.

Prime Factorization of 62478

Prime Factorization of 62496

Now multiplying the highest exponent prime factors to calculate the LCM of 62478 and 62496.

LCM(62478,62496) = 2⁵ × 3³ × 13¹ × 89¹ × 7¹ × 31¹
LCM(62478,62496) = 216923616