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What is the Least Common Multiple of 43127 and 43137?

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 43127 and 43137 is 1860369399.

LCM(43127,43137) = 1860369399

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Least Common Multiple of 43127 and 43137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43127 and 43137, than apply into the LCM equation.

GCF(43127,43137) = 1
LCM(43127,43137) = ( 43127 × 43137) / 1
LCM(43127,43137) = 1860369399 / 1
LCM(43127,43137) = 1860369399

Least Common Multiple (LCM) of 43127 and 43137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43127 and 43137. First we will calculate the prime factors of 43127 and 43137.

Prime Factorization of 43127

Prime factors of 43127 are 7, 61, 101. Prime factorization of 43127 in exponential form is:

43127 = 71 × 611 × 1011

Prime Factorization of 43137

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

43137 = 32 × 47931

Now multiplying the highest exponent prime factors to calculate the LCM of 43127 and 43137.

LCM(43127,43137) = 71 × 611 × 1011 × 32 × 47931
LCM(43127,43137) = 1860369399