What is the Least Common Multiple of 63651 and 63657?

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 63651 and 63657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63651 and 63657, than apply into the LCM equation.

GCF(63651,63657) = 3
LCM(63651,63657) = ( 63651 × 63657) / 3
LCM(63651,63657) = 4051831707 / 3
LCM(63651,63657) = 1350610569

Least Common Multiple (LCM) of 63651 and 63657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63651 and 63657. First we will calculate the prime factors of 63651 and 63657.

Prime Factorization of 63651

Prime Factorization of 63657

Now multiplying the highest exponent prime factors to calculate the LCM of 63651 and 63657.

LCM(63651,63657) = 3² × 7² × 433¹ × 11¹ × 643¹
LCM(63651,63657) = 1350610569