What is the Least Common Multiple of 40260 and 40275?

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 40260 and 40275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40260 and 40275, than apply into the LCM equation.

GCF(40260,40275) = 15
LCM(40260,40275) = ( 40260 × 40275) / 15
LCM(40260,40275) = 1621471500 / 15
LCM(40260,40275) = 108098100

Least Common Multiple (LCM) of 40260 and 40275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40260 and 40275. First we will calculate the prime factors of 40260 and 40275.

Prime Factorization of 40260

Prime Factorization of 40275

Now multiplying the highest exponent prime factors to calculate the LCM of 40260 and 40275.

LCM(40260,40275) = 2² × 3² × 5² × 11¹ × 61¹ × 179¹
LCM(40260,40275) = 108098100