What is the Least Common Multiple of 63636 and 63655?

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 63636 and 63655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63636 and 63655, than apply into the LCM equation.

GCF(63636,63655) = 1
LCM(63636,63655) = ( 63636 × 63655) / 1
LCM(63636,63655) = 4050749580 / 1
LCM(63636,63655) = 4050749580

Least Common Multiple (LCM) of 63636 and 63655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63636 and 63655. First we will calculate the prime factors of 63636 and 63655.

Prime Factorization of 63636

Prime Factorization of 63655

Now multiplying the highest exponent prime factors to calculate the LCM of 63636 and 63655.

LCM(63636,63655) = 2² × 3¹ × 5303¹ × 5¹ × 29¹ × 439¹
LCM(63636,63655) = 4050749580