What is the Least Common Multiple of 89378 and 89396?

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 89378 and 89396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89378 and 89396, than apply into the LCM equation.

GCF(89378,89396) = 2
LCM(89378,89396) = ( 89378 × 89396) / 2
LCM(89378,89396) = 7990035688 / 2
LCM(89378,89396) = 3995017844

Least Common Multiple (LCM) of 89378 and 89396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89378 and 89396. First we will calculate the prime factors of 89378 and 89396.

Prime Factorization of 89378

Prime Factorization of 89396

Now multiplying the highest exponent prime factors to calculate the LCM of 89378 and 89396.

LCM(89378,89396) = 2² × 23¹ × 29¹ × 67¹ × 22349¹
LCM(89378,89396) = 3995017844