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What is the Least Common Multiple of 2137 and 2147?

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 2137 and 2147 is 4588139.

LCM(2137,2147) = 4588139

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Least Common Multiple of 2137 and 2147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2137 and 2147, than apply into the LCM equation.

GCF(2137,2147) = 1
LCM(2137,2147) = ( 2137 × 2147) / 1
LCM(2137,2147) = 4588139 / 1
LCM(2137,2147) = 4588139

Least Common Multiple (LCM) of 2137 and 2147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2137 and 2147. First we will calculate the prime factors of 2137 and 2147.

Prime Factorization of 2137

Prime factors of 2137 are 2137. Prime factorization of 2137 in exponential form is:

2137 = 21371

Prime Factorization of 2147

Prime factors of 2147 are 19, 113. Prime factorization of 2147 in exponential form is:

2147 = 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2137 and 2147.

LCM(2137,2147) = 21371 × 191 × 1131
LCM(2137,2147) = 4588139