What is the Least Common Multiple of 62625 and 62635?

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 62625 and 62635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62625 and 62635, than apply into the LCM equation.

GCF(62625,62635) = 5
LCM(62625,62635) = ( 62625 × 62635) / 5
LCM(62625,62635) = 3922516875 / 5
LCM(62625,62635) = 784503375

Least Common Multiple (LCM) of 62625 and 62635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62625 and 62635. First we will calculate the prime factors of 62625 and 62635.

Prime Factorization of 62625

Prime Factorization of 62635

Now multiplying the highest exponent prime factors to calculate the LCM of 62625 and 62635.

LCM(62625,62635) = 3¹ × 5³ × 167¹ × 12527¹
LCM(62625,62635) = 784503375