What is the Least Common Multiple of 63105 and 63115?

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 63105 and 63115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63105 and 63115, than apply into the LCM equation.

GCF(63105,63115) = 5
LCM(63105,63115) = ( 63105 × 63115) / 5
LCM(63105,63115) = 3982872075 / 5
LCM(63105,63115) = 796574415

Least Common Multiple (LCM) of 63105 and 63115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63105 and 63115. First we will calculate the prime factors of 63105 and 63115.

Prime Factorization of 63105

Prime Factorization of 63115

Now multiplying the highest exponent prime factors to calculate the LCM of 63105 and 63115.

LCM(63105,63115) = 3¹ × 5¹ × 7¹ × 601¹ × 13¹ × 971¹
LCM(63105,63115) = 796574415