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What is the Least Common Multiple of 43932 and 43937?

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 43932 and 43937 is 1930240284.

LCM(43932,43937) = 1930240284

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Least Common Multiple of 43932 and 43937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43932 and 43937, than apply into the LCM equation.

GCF(43932,43937) = 1
LCM(43932,43937) = ( 43932 × 43937) / 1
LCM(43932,43937) = 1930240284 / 1
LCM(43932,43937) = 1930240284

Least Common Multiple (LCM) of 43932 and 43937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43932 and 43937. First we will calculate the prime factors of 43932 and 43937.

Prime Factorization of 43932

Prime factors of 43932 are 2, 3, 7, 523. Prime factorization of 43932 in exponential form is:

43932 = 22 × 31 × 71 × 5231

Prime Factorization of 43937

Prime factors of 43937 are 53, 829. Prime factorization of 43937 in exponential form is:

43937 = 531 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 43932 and 43937.

LCM(43932,43937) = 22 × 31 × 71 × 5231 × 531 × 8291
LCM(43932,43937) = 1930240284