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What is the Least Common Multiple of 2176 and 2180?

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 2176 and 2180 is 1185920.

LCM(2176,2180) = 1185920

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Least Common Multiple of 2176 and 2180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2176 and 2180, than apply into the LCM equation.

GCF(2176,2180) = 4
LCM(2176,2180) = ( 2176 × 2180) / 4
LCM(2176,2180) = 4743680 / 4
LCM(2176,2180) = 1185920

Least Common Multiple (LCM) of 2176 and 2180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2176 and 2180. First we will calculate the prime factors of 2176 and 2180.

Prime Factorization of 2176

Prime factors of 2176 are 2, 17. Prime factorization of 2176 in exponential form is:

2176 = 27 × 171

Prime Factorization of 2180

Prime factors of 2180 are 2, 5, 109. Prime factorization of 2180 in exponential form is:

2180 = 22 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2176 and 2180.

LCM(2176,2180) = 27 × 171 × 51 × 1091
LCM(2176,2180) = 1185920