What is the Least Common Multiple of 11156 and 11174?

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 11156 and 11174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11156 and 11174, than apply into the LCM equation.

GCF(11156,11174) = 2
LCM(11156,11174) = ( 11156 × 11174) / 2
LCM(11156,11174) = 124657144 / 2
LCM(11156,11174) = 62328572

Least Common Multiple (LCM) of 11156 and 11174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11156 and 11174. First we will calculate the prime factors of 11156 and 11174.

Prime Factorization of 11156

Prime Factorization of 11174

Now multiplying the highest exponent prime factors to calculate the LCM of 11156 and 11174.

LCM(11156,11174) = 2² × 2789¹ × 37¹ × 151¹
LCM(11156,11174) = 62328572