What is the Least Common Multiple of 63123 and 63142?

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 63142 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 63142, than apply into the LCM equation.

GCF(63123,63142) = 1
LCM(63123,63142) = ( 63123 × 63142) / 1
LCM(63123,63142) = 3985712466 / 1
LCM(63123,63142) = 3985712466

Least Common Multiple (LCM) of 63123 and 63142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63123 and 63142. First we will calculate the prime factors of 63123 and 63142.

Prime Factorization of 63123

Prime Factorization of 63142

Now multiplying the highest exponent prime factors to calculate the LCM of 63123 and 63142.

LCM(63123,63142) = 3¹ × 53¹ × 397¹ × 2¹ × 131¹ × 241¹
LCM(63123,63142) = 3985712466