What is the Least Common Multiple of 63123 and 63139?

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 63139 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 63139, than apply into the LCM equation.

GCF(63123,63139) = 1
LCM(63123,63139) = ( 63123 × 63139) / 1
LCM(63123,63139) = 3985523097 / 1
LCM(63123,63139) = 3985523097

Least Common Multiple (LCM) of 63123 and 63139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63123 and 63139. First we will calculate the prime factors of 63123 and 63139.

Prime Factorization of 63123

Prime Factorization of 63139

Now multiplying the highest exponent prime factors to calculate the LCM of 63123 and 63139.

LCM(63123,63139) = 3¹ × 53¹ × 397¹ × 103¹ × 613¹
LCM(63123,63139) = 3985523097