What is the Least Common Multiple of 10890 and 10894?

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 10890 and 10894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10890 and 10894, than apply into the LCM equation.

GCF(10890,10894) = 2
LCM(10890,10894) = ( 10890 × 10894) / 2
LCM(10890,10894) = 118635660 / 2
LCM(10890,10894) = 59317830

Least Common Multiple (LCM) of 10890 and 10894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10890 and 10894. First we will calculate the prime factors of 10890 and 10894.

Prime Factorization of 10890

Prime Factorization of 10894

Now multiplying the highest exponent prime factors to calculate the LCM of 10890 and 10894.

LCM(10890,10894) = 2¹ × 3² × 5¹ × 11² × 13¹ × 419¹
LCM(10890,10894) = 59317830