What is the Least Common Multiple of 10949 and 10959?

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 10949 and 10959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10949 and 10959, than apply into the LCM equation.

GCF(10949,10959) = 1
LCM(10949,10959) = ( 10949 × 10959) / 1
LCM(10949,10959) = 119990091 / 1
LCM(10949,10959) = 119990091

Least Common Multiple (LCM) of 10949 and 10959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10949 and 10959. First we will calculate the prime factors of 10949 and 10959.

Prime Factorization of 10949

Prime Factorization of 10959

Now multiplying the highest exponent prime factors to calculate the LCM of 10949 and 10959.

LCM(10949,10959) = 10949¹ × 3¹ × 13¹ × 281¹
LCM(10949,10959) = 119990091