What is the Least Common Multiple of 63666 and 63672?

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 63666 and 63672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63666 and 63672, than apply into the LCM equation.

GCF(63666,63672) = 6
LCM(63666,63672) = ( 63666 × 63672) / 6
LCM(63666,63672) = 4053741552 / 6
LCM(63666,63672) = 675623592

Least Common Multiple (LCM) of 63666 and 63672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63666 and 63672. First we will calculate the prime factors of 63666 and 63672.

Prime Factorization of 63666

Prime Factorization of 63672

Now multiplying the highest exponent prime factors to calculate the LCM of 63666 and 63672.

LCM(63666,63672) = 2³ × 3⁵ × 131¹ × 7¹ × 379¹
LCM(63666,63672) = 675623592