What is the Least Common Multiple of 63675 and 63690?

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 63675 and 63690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63675 and 63690, than apply into the LCM equation.

GCF(63675,63690) = 15
LCM(63675,63690) = ( 63675 × 63690) / 15
LCM(63675,63690) = 4055460750 / 15
LCM(63675,63690) = 270364050

Least Common Multiple (LCM) of 63675 and 63690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63675 and 63690. First we will calculate the prime factors of 63675 and 63690.

Prime Factorization of 63675

Prime Factorization of 63690

Now multiplying the highest exponent prime factors to calculate the LCM of 63675 and 63690.

LCM(63675,63690) = 3² × 5² × 283¹ × 2¹ × 11¹ × 193¹
LCM(63675,63690) = 270364050