What is the Least Common Multiple of 60625 and 60638?

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 60625 and 60638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60625 and 60638, than apply into the LCM equation.

GCF(60625,60638) = 1
LCM(60625,60638) = ( 60625 × 60638) / 1
LCM(60625,60638) = 3676178750 / 1
LCM(60625,60638) = 3676178750

Least Common Multiple (LCM) of 60625 and 60638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60625 and 60638. First we will calculate the prime factors of 60625 and 60638.

Prime Factorization of 60625

Prime Factorization of 60638

Now multiplying the highest exponent prime factors to calculate the LCM of 60625 and 60638.

LCM(60625,60638) = 5⁴ × 97¹ × 2¹ × 30319¹
LCM(60625,60638) = 3676178750