What is the Least Common Multiple of 63135 and 63143?

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 63135 and 63143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63135 and 63143, than apply into the LCM equation.

GCF(63135,63143) = 1
LCM(63135,63143) = ( 63135 × 63143) / 1
LCM(63135,63143) = 3986533305 / 1
LCM(63135,63143) = 3986533305

Least Common Multiple (LCM) of 63135 and 63143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63135 and 63143. First we will calculate the prime factors of 63135 and 63143.

Prime Factorization of 63135

Prime Factorization of 63143

Now multiplying the highest exponent prime factors to calculate the LCM of 63135 and 63143.

LCM(63135,63143) = 3² × 5¹ × 23¹ × 61¹ × 233¹ × 271¹
LCM(63135,63143) = 3986533305