What is the Least Common Multiple of 10894 and 10898?

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 10894 and 10898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10894 and 10898, than apply into the LCM equation.

GCF(10894,10898) = 2
LCM(10894,10898) = ( 10894 × 10898) / 2
LCM(10894,10898) = 118722812 / 2
LCM(10894,10898) = 59361406

Least Common Multiple (LCM) of 10894 and 10898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10894 and 10898. First we will calculate the prime factors of 10894 and 10898.

Prime Factorization of 10894

Prime Factorization of 10898

Now multiplying the highest exponent prime factors to calculate the LCM of 10894 and 10898.

LCM(10894,10898) = 2¹ × 13¹ × 419¹ × 5449¹
LCM(10894,10898) = 59361406