What is the Least Common Multiple of 89265 and 89282?

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 89265 and 89282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89265 and 89282, than apply into the LCM equation.

GCF(89265,89282) = 1
LCM(89265,89282) = ( 89265 × 89282) / 1
LCM(89265,89282) = 7969757730 / 1
LCM(89265,89282) = 7969757730

Least Common Multiple (LCM) of 89265 and 89282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89265 and 89282. First we will calculate the prime factors of 89265 and 89282.

Prime Factorization of 89265

Prime Factorization of 89282

Now multiplying the highest exponent prime factors to calculate the LCM of 89265 and 89282.

LCM(89265,89282) = 3¹ × 5¹ × 11¹ × 541¹ × 2¹ × 44641¹
LCM(89265,89282) = 7969757730