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What is the Least Common Multiple of 43137 and 43156?

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 43137 and 43156 is 1861620372.

LCM(43137,43156) = 1861620372

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Least Common Multiple of 43137 and 43156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43137 and 43156, than apply into the LCM equation.

GCF(43137,43156) = 1
LCM(43137,43156) = ( 43137 × 43156) / 1
LCM(43137,43156) = 1861620372 / 1
LCM(43137,43156) = 1861620372

Least Common Multiple (LCM) of 43137 and 43156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43137 and 43156. First we will calculate the prime factors of 43137 and 43156.

Prime Factorization of 43137

Prime factors of 43137 are 3, 4793. Prime factorization of 43137 in exponential form is:

43137 = 32 × 47931

Prime Factorization of 43156

Prime factors of 43156 are 2, 10789. Prime factorization of 43156 in exponential form is:

43156 = 22 × 107891

Now multiplying the highest exponent prime factors to calculate the LCM of 43137 and 43156.

LCM(43137,43156) = 32 × 47931 × 22 × 107891
LCM(43137,43156) = 1861620372