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What is the Least Common Multiple of 43601 and 43607?

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 43601 and 43607 is 1901308807.

LCM(43601,43607) = 1901308807

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Least Common Multiple of 43601 and 43607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43601 and 43607, than apply into the LCM equation.

GCF(43601,43607) = 1
LCM(43601,43607) = ( 43601 × 43607) / 1
LCM(43601,43607) = 1901308807 / 1
LCM(43601,43607) = 1901308807

Least Common Multiple (LCM) of 43601 and 43607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43601 and 43607. First we will calculate the prime factors of 43601 and 43607.

Prime Factorization of 43601

Prime factors of 43601 are 59, 739. Prime factorization of 43601 in exponential form is:

43601 = 591 × 7391

Prime Factorization of 43607

Prime factors of 43607 are 43607. Prime factorization of 43607 in exponential form is:

43607 = 436071

Now multiplying the highest exponent prime factors to calculate the LCM of 43601 and 43607.

LCM(43601,43607) = 591 × 7391 × 436071
LCM(43601,43607) = 1901308807