What is the Least Common Multiple of 2156 and 2167?

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 2156 and 2167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2156 and 2167, than apply into the LCM equation.

GCF(2156,2167) = 11
LCM(2156,2167) = ( 2156 × 2167) / 11
LCM(2156,2167) = 4672052 / 11
LCM(2156,2167) = 424732

Least Common Multiple (LCM) of 2156 and 2167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2156 and 2167. First we will calculate the prime factors of 2156 and 2167.

Prime Factorization of 2156

Prime Factorization of 2167

Now multiplying the highest exponent prime factors to calculate the LCM of 2156 and 2167.

LCM(2156,2167) = 2² × 7² × 11¹ × 197¹
LCM(2156,2167) = 424732