What is the Least Common Multiple of 40120 and 40125?

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 40120 and 40125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40120 and 40125, than apply into the LCM equation.

GCF(40120,40125) = 5
LCM(40120,40125) = ( 40120 × 40125) / 5
LCM(40120,40125) = 1609815000 / 5
LCM(40120,40125) = 321963000

Least Common Multiple (LCM) of 40120 and 40125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40120 and 40125. First we will calculate the prime factors of 40120 and 40125.

Prime Factorization of 40120

Prime Factorization of 40125

Now multiplying the highest exponent prime factors to calculate the LCM of 40120 and 40125.

LCM(40120,40125) = 2³ × 5³ × 17¹ × 59¹ × 3¹ × 107¹
LCM(40120,40125) = 321963000