What is the Least Common Multiple of 40125 and 40145?

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 40125 and 40145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40125 and 40145, than apply into the LCM equation.

GCF(40125,40145) = 5
LCM(40125,40145) = ( 40125 × 40145) / 5
LCM(40125,40145) = 1610818125 / 5
LCM(40125,40145) = 322163625

Least Common Multiple (LCM) of 40125 and 40145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40125 and 40145. First we will calculate the prime factors of 40125 and 40145.

Prime Factorization of 40125

Prime Factorization of 40145

Now multiplying the highest exponent prime factors to calculate the LCM of 40125 and 40145.

LCM(40125,40145) = 3¹ × 5³ × 107¹ × 7¹ × 31¹ × 37¹
LCM(40125,40145) = 322163625