What is the Least Common Multiple of 89320 and 89340?

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 89320 and 89340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89320 and 89340, than apply into the LCM equation.

GCF(89320,89340) = 20
LCM(89320,89340) = ( 89320 × 89340) / 20
LCM(89320,89340) = 7979848800 / 20
LCM(89320,89340) = 398992440

Least Common Multiple (LCM) of 89320 and 89340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89320 and 89340. First we will calculate the prime factors of 89320 and 89340.

Prime Factorization of 89320

Prime Factorization of 89340

Now multiplying the highest exponent prime factors to calculate the LCM of 89320 and 89340.

LCM(89320,89340) = 2³ × 5¹ × 7¹ × 11¹ × 29¹ × 3¹ × 1489¹
LCM(89320,89340) = 398992440