What is the Least Common Multiple of 63123 and 63135?

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 63123 and 63135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63123 and 63135, than apply into the LCM equation.

GCF(63123,63135) = 3
LCM(63123,63135) = ( 63123 × 63135) / 3
LCM(63123,63135) = 3985270605 / 3
LCM(63123,63135) = 1328423535

Least Common Multiple (LCM) of 63123 and 63135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63123 and 63135. First we will calculate the prime factors of 63123 and 63135.

Prime Factorization of 63123

Prime Factorization of 63135

Now multiplying the highest exponent prime factors to calculate the LCM of 63123 and 63135.

LCM(63123,63135) = 3² × 53¹ × 397¹ × 5¹ × 23¹ × 61¹
LCM(63123,63135) = 1328423535