What is the Least Common Multiple of 75240 and 75255?

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 75240 and 75255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75240 and 75255, than apply into the LCM equation.

GCF(75240,75255) = 15
LCM(75240,75255) = ( 75240 × 75255) / 15
LCM(75240,75255) = 5662186200 / 15
LCM(75240,75255) = 377479080

Least Common Multiple (LCM) of 75240 and 75255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75240 and 75255. First we will calculate the prime factors of 75240 and 75255.

Prime Factorization of 75240

Prime Factorization of 75255

Now multiplying the highest exponent prime factors to calculate the LCM of 75240 and 75255.

LCM(75240,75255) = 2³ × 3² × 5¹ × 11¹ × 19¹ × 29¹ × 173¹
LCM(75240,75255) = 377479080