What is the Least Common Multiple of 89653 and 89665?

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 89653 and 89665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89653 and 89665, than apply into the LCM equation.

GCF(89653,89665) = 1
LCM(89653,89665) = ( 89653 × 89665) / 1
LCM(89653,89665) = 8038736245 / 1
LCM(89653,89665) = 8038736245

Least Common Multiple (LCM) of 89653 and 89665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89653 and 89665. First we will calculate the prime factors of 89653 and 89665.

Prime Factorization of 89653

Prime Factorization of 89665

Now multiplying the highest exponent prime factors to calculate the LCM of 89653 and 89665.

LCM(89653,89665) = 89653¹ × 5¹ × 79¹ × 227¹
LCM(89653,89665) = 8038736245