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What is the Least Common Multiple of 2172 and 2179?

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 2172 and 2179 is 4732788.

LCM(2172,2179) = 4732788

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Least Common Multiple of 2172 and 2179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2179, than apply into the LCM equation.

GCF(2172,2179) = 1
LCM(2172,2179) = ( 2172 × 2179) / 1
LCM(2172,2179) = 4732788 / 1
LCM(2172,2179) = 4732788

Least Common Multiple (LCM) of 2172 and 2179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2179. First we will calculate the prime factors of 2172 and 2179.

Prime Factorization of 2172

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

2172 = 22 × 31 × 1811

Prime Factorization of 2179

Prime factors of 2179 are 2179. Prime factorization of 2179 in exponential form is:

2179 = 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2179.

LCM(2172,2179) = 22 × 31 × 1811 × 21791
LCM(2172,2179) = 4732788