What is the Least Common Multiple of 11139 and 11146?

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 11139 and 11146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11139 and 11146, than apply into the LCM equation.

GCF(11139,11146) = 1
LCM(11139,11146) = ( 11139 × 11146) / 1
LCM(11139,11146) = 124155294 / 1
LCM(11139,11146) = 124155294

Least Common Multiple (LCM) of 11139 and 11146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11139 and 11146. First we will calculate the prime factors of 11139 and 11146.

Prime Factorization of 11139

Prime Factorization of 11146

Now multiplying the highest exponent prime factors to calculate the LCM of 11139 and 11146.

LCM(11139,11146) = 3¹ × 47¹ × 79¹ × 2¹ × 5573¹
LCM(11139,11146) = 124155294