What is the Least Common Multiple of 63636 and 63651?

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 63651 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 63651, than apply into the LCM equation.

GCF(63636,63651) = 3
LCM(63636,63651) = ( 63636 × 63651) / 3
LCM(63636,63651) = 4050495036 / 3
LCM(63636,63651) = 1350165012

Least Common Multiple (LCM) of 63636 and 63651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63636 and 63651. First we will calculate the prime factors of 63636 and 63651.

Prime Factorization of 63636

Prime Factorization of 63651

Now multiplying the highest exponent prime factors to calculate the LCM of 63636 and 63651.

LCM(63636,63651) = 2² × 3¹ × 5303¹ × 7² × 433¹
LCM(63636,63651) = 1350165012