What is the Least Common Multiple of 57240 and 57255?

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 57240 and 57255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57240 and 57255, than apply into the LCM equation.

GCF(57240,57255) = 15
LCM(57240,57255) = ( 57240 × 57255) / 15
LCM(57240,57255) = 3277276200 / 15
LCM(57240,57255) = 218485080

Least Common Multiple (LCM) of 57240 and 57255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57240 and 57255. First we will calculate the prime factors of 57240 and 57255.

Prime Factorization of 57240

Prime Factorization of 57255

Now multiplying the highest exponent prime factors to calculate the LCM of 57240 and 57255.

LCM(57240,57255) = 2³ × 3³ × 5¹ × 53¹ × 11¹ × 347¹
LCM(57240,57255) = 218485080