What is the Least Common Multiple of 63125 and 63138?

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 63125 and 63138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63125 and 63138, than apply into the LCM equation.

GCF(63125,63138) = 1
LCM(63125,63138) = ( 63125 × 63138) / 1
LCM(63125,63138) = 3985586250 / 1
LCM(63125,63138) = 3985586250

Least Common Multiple (LCM) of 63125 and 63138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63125 and 63138. First we will calculate the prime factors of 63125 and 63138.

Prime Factorization of 63125

Prime Factorization of 63138

Now multiplying the highest exponent prime factors to calculate the LCM of 63125 and 63138.

LCM(63125,63138) = 5⁴ × 101¹ × 2¹ × 3¹ × 17¹ × 619¹
LCM(63125,63138) = 3985586250