What is the Least Common Multiple of 96240 and 96255?

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 96240 and 96255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96240 and 96255, than apply into the LCM equation.

GCF(96240,96255) = 15
LCM(96240,96255) = ( 96240 × 96255) / 15
LCM(96240,96255) = 9263581200 / 15
LCM(96240,96255) = 617572080

Least Common Multiple (LCM) of 96240 and 96255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96240 and 96255. First we will calculate the prime factors of 96240 and 96255.

Prime Factorization of 96240

Prime Factorization of 96255

Now multiplying the highest exponent prime factors to calculate the LCM of 96240 and 96255.

LCM(96240,96255) = 2⁴ × 3³ × 5¹ × 401¹ × 23¹ × 31¹
LCM(96240,96255) = 617572080