What is the Least Common Multiple of 62608 and 62627?

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 62608 and 62627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62608 and 62627, than apply into the LCM equation.

GCF(62608,62627) = 1
LCM(62608,62627) = ( 62608 × 62627) / 1
LCM(62608,62627) = 3920951216 / 1
LCM(62608,62627) = 3920951216

Least Common Multiple (LCM) of 62608 and 62627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62608 and 62627. First we will calculate the prime factors of 62608 and 62627.

Prime Factorization of 62608

Prime Factorization of 62627

Now multiplying the highest exponent prime factors to calculate the LCM of 62608 and 62627.

LCM(62608,62627) = 2⁴ × 7¹ × 13¹ × 43¹ × 62627¹
LCM(62608,62627) = 3920951216