What is the Least Common Multiple of 63625 and 63636?

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 63636 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 63636, than apply into the LCM equation.

GCF(63625,63636) = 1
LCM(63625,63636) = ( 63625 × 63636) / 1
LCM(63625,63636) = 4048840500 / 1
LCM(63625,63636) = 4048840500

Least Common Multiple (LCM) of 63625 and 63636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63625 and 63636. First we will calculate the prime factors of 63625 and 63636.

Prime Factorization of 63625

Prime Factorization of 63636

Now multiplying the highest exponent prime factors to calculate the LCM of 63625 and 63636.

LCM(63625,63636) = 5³ × 509¹ × 2² × 3¹ × 5303¹
LCM(63625,63636) = 4048840500