What is the Least Common Multiple of 89349 and 89362?

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 89349 and 89362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89349 and 89362, than apply into the LCM equation.

GCF(89349,89362) = 13
LCM(89349,89362) = ( 89349 × 89362) / 13
LCM(89349,89362) = 7984405338 / 13
LCM(89349,89362) = 614185026

Least Common Multiple (LCM) of 89349 and 89362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89349 and 89362. First we will calculate the prime factors of 89349 and 89362.

Prime Factorization of 89349

Prime Factorization of 89362

Now multiplying the highest exponent prime factors to calculate the LCM of 89349 and 89362.

LCM(89349,89362) = 3¹ × 13¹ × 29¹ × 79¹ × 2¹ × 7¹ × 491¹
LCM(89349,89362) = 614185026