What is the Least Common Multiple of 89348 and 89358?

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 89348 and 89358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89348 and 89358, than apply into the LCM equation.

GCF(89348,89358) = 2
LCM(89348,89358) = ( 89348 × 89358) / 2
LCM(89348,89358) = 7983958584 / 2
LCM(89348,89358) = 3991979292

Least Common Multiple (LCM) of 89348 and 89358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89348 and 89358. First we will calculate the prime factors of 89348 and 89358.

Prime Factorization of 89348

Prime Factorization of 89358

Now multiplying the highest exponent prime factors to calculate the LCM of 89348 and 89358.

LCM(89348,89358) = 2² × 7¹ × 3191¹ × 3¹ × 53¹ × 281¹
LCM(89348,89358) = 3991979292