What is the Least Common Multiple of 40625 and 40638?

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 40625 and 40638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40625 and 40638, than apply into the LCM equation.

GCF(40625,40638) = 13
LCM(40625,40638) = ( 40625 × 40638) / 13
LCM(40625,40638) = 1650918750 / 13
LCM(40625,40638) = 126993750

Least Common Multiple (LCM) of 40625 and 40638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40625 and 40638. First we will calculate the prime factors of 40625 and 40638.

Prime Factorization of 40625

Prime Factorization of 40638

Now multiplying the highest exponent prime factors to calculate the LCM of 40625 and 40638.

LCM(40625,40638) = 5⁵ × 13¹ × 2¹ × 3¹ × 521¹
LCM(40625,40638) = 126993750