What is the Least Common Multiple of 63110 and 63125?

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 63110 and 63125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63110 and 63125, than apply into the LCM equation.

GCF(63110,63125) = 5
LCM(63110,63125) = ( 63110 × 63125) / 5
LCM(63110,63125) = 3983818750 / 5
LCM(63110,63125) = 796763750

Least Common Multiple (LCM) of 63110 and 63125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63110 and 63125. First we will calculate the prime factors of 63110 and 63125.

Prime Factorization of 63110

Prime Factorization of 63125

Now multiplying the highest exponent prime factors to calculate the LCM of 63110 and 63125.

LCM(63110,63125) = 2¹ × 5⁴ × 6311¹ × 101¹
LCM(63110,63125) = 796763750