What is the Least Common Multiple of 11138 and 11154?

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 11138 and 11154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11138 and 11154, than apply into the LCM equation.

GCF(11138,11154) = 2
LCM(11138,11154) = ( 11138 × 11154) / 2
LCM(11138,11154) = 124233252 / 2
LCM(11138,11154) = 62116626

Least Common Multiple (LCM) of 11138 and 11154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11138 and 11154. First we will calculate the prime factors of 11138 and 11154.

Prime Factorization of 11138

Prime Factorization of 11154

Now multiplying the highest exponent prime factors to calculate the LCM of 11138 and 11154.

LCM(11138,11154) = 2¹ × 5569¹ × 3¹ × 11¹ × 13²
LCM(11138,11154) = 62116626