What is the Least Common Multiple of 89340 and 89349?

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 89340 and 89349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89340 and 89349, than apply into the LCM equation.

GCF(89340,89349) = 3
LCM(89340,89349) = ( 89340 × 89349) / 3
LCM(89340,89349) = 7982439660 / 3
LCM(89340,89349) = 2660813220

Least Common Multiple (LCM) of 89340 and 89349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89340 and 89349. First we will calculate the prime factors of 89340 and 89349.

Prime Factorization of 89340

Prime Factorization of 89349

Now multiplying the highest exponent prime factors to calculate the LCM of 89340 and 89349.

LCM(89340,89349) = 2² × 3¹ × 5¹ × 1489¹ × 13¹ × 29¹ × 79¹
LCM(89340,89349) = 2660813220