What is the Least Common Multiple of 89280 and 89295?

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 89280 and 89295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89280 and 89295, than apply into the LCM equation.

GCF(89280,89295) = 15
LCM(89280,89295) = ( 89280 × 89295) / 15
LCM(89280,89295) = 7972257600 / 15
LCM(89280,89295) = 531483840

Least Common Multiple (LCM) of 89280 and 89295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89280 and 89295. First we will calculate the prime factors of 89280 and 89295.

Prime Factorization of 89280

Prime Factorization of 89295

Now multiplying the highest exponent prime factors to calculate the LCM of 89280 and 89295.

LCM(89280,89295) = 2⁶ × 3² × 5¹ × 31¹ × 5953¹
LCM(89280,89295) = 531483840