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What is the Least Common Multiple of 2156 and 2172?

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 (LCM) of 2156 and 2172 is 1170708.

LCM(2156,2172) = 1170708

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Least Common Multiple of 2156 and 2172 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 2172, than apply into the LCM equation.

GCF(2156,2172) = 4
LCM(2156,2172) = ( 2156 × 2172) / 4
LCM(2156,2172) = 4682832 / 4
LCM(2156,2172) = 1170708

Least Common Multiple (LCM) of 2156 and 2172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2156 and 2172. First we will calculate the prime factors of 2156 and 2172.

Prime Factorization of 2156

Prime factors of 2156 are 2, 7, 11. Prime factorization of 2156 in exponential form is:

2156 = 22 × 72 × 111

Prime Factorization of 2172

Prime factors of 2172 are 2, 3, 181. Prime factorization of 2172 in exponential form is:

2172 = 22 × 31 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2156 and 2172.

LCM(2156,2172) = 22 × 72 × 111 × 31 × 1811
LCM(2156,2172) = 1170708