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What is the Least Common Multiple of 43737 and 43752?

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 43737 and 43752 is 637860408.

LCM(43737,43752) = 637860408

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Least Common Multiple of 43737 and 43752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43737 and 43752, than apply into the LCM equation.

GCF(43737,43752) = 3
LCM(43737,43752) = ( 43737 × 43752) / 3
LCM(43737,43752) = 1913581224 / 3
LCM(43737,43752) = 637860408

Least Common Multiple (LCM) of 43737 and 43752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43737 and 43752. First we will calculate the prime factors of 43737 and 43752.

Prime Factorization of 43737

Prime factors of 43737 are 3, 61, 239. Prime factorization of 43737 in exponential form is:

43737 = 31 × 611 × 2391

Prime Factorization of 43752

Prime factors of 43752 are 2, 3, 1823. Prime factorization of 43752 in exponential form is:

43752 = 23 × 31 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 43737 and 43752.

LCM(43737,43752) = 31 × 611 × 2391 × 23 × 18231
LCM(43737,43752) = 637860408