What is the Least Common Multiple of 63625 and 63645?

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 63625 and 63645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63625 and 63645, than apply into the LCM equation.

GCF(63625,63645) = 5
LCM(63625,63645) = ( 63625 × 63645) / 5
LCM(63625,63645) = 4049413125 / 5
LCM(63625,63645) = 809882625

Least Common Multiple (LCM) of 63625 and 63645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63625 and 63645. First we will calculate the prime factors of 63625 and 63645.

Prime Factorization of 63625

Prime Factorization of 63645

Now multiplying the highest exponent prime factors to calculate the LCM of 63625 and 63645.

LCM(63625,63645) = 5³ × 509¹ × 3¹ × 4243¹
LCM(63625,63645) = 809882625