What is the Least Common Multiple of 89280 and 89285?

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 89285 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 89285, than apply into the LCM equation.

GCF(89280,89285) = 5
LCM(89280,89285) = ( 89280 × 89285) / 5
LCM(89280,89285) = 7971364800 / 5
LCM(89280,89285) = 1594272960

Least Common Multiple (LCM) of 89280 and 89285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89280 and 89285. First we will calculate the prime factors of 89280 and 89285.

Prime Factorization of 89280

Prime Factorization of 89285

Now multiplying the highest exponent prime factors to calculate the LCM of 89280 and 89285.

LCM(89280,89285) = 2⁶ × 3² × 5¹ × 31¹ × 7¹ × 2551¹
LCM(89280,89285) = 1594272960