What is the Least Common Multiple of 63090 and 63105?

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 63090 and 63105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63090 and 63105, than apply into the LCM equation.

GCF(63090,63105) = 15
LCM(63090,63105) = ( 63090 × 63105) / 15
LCM(63090,63105) = 3981294450 / 15
LCM(63090,63105) = 265419630

Least Common Multiple (LCM) of 63090 and 63105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63090 and 63105. First we will calculate the prime factors of 63090 and 63105.

Prime Factorization of 63090

Prime Factorization of 63105

Now multiplying the highest exponent prime factors to calculate the LCM of 63090 and 63105.

LCM(63090,63105) = 2¹ × 3² × 5¹ × 701¹ × 7¹ × 601¹
LCM(63090,63105) = 265419630