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What is the Least Common Multiple of 43837 and 43847?

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 43837 and 43847 is 1922120939.

LCM(43837,43847) = 1922120939

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Least Common Multiple of 43837 and 43847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43837 and 43847, than apply into the LCM equation.

GCF(43837,43847) = 1
LCM(43837,43847) = ( 43837 × 43847) / 1
LCM(43837,43847) = 1922120939 / 1
LCM(43837,43847) = 1922120939

Least Common Multiple (LCM) of 43837 and 43847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43837 and 43847. First we will calculate the prime factors of 43837 and 43847.

Prime Factorization of 43837

Prime factors of 43837 are 59, 743. Prime factorization of 43837 in exponential form is:

43837 = 591 × 7431

Prime Factorization of 43847

Prime factors of 43847 are 163, 269. Prime factorization of 43847 in exponential form is:

43847 = 1631 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 43837 and 43847.

LCM(43837,43847) = 591 × 7431 × 1631 × 2691
LCM(43837,43847) = 1922120939