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What is the Least Common Multiple of 44230 and 44237?

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 44230 and 44237 is 1956602510.

LCM(44230,44237) = 1956602510

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Least Common Multiple of 44230 and 44237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44230 and 44237, than apply into the LCM equation.

GCF(44230,44237) = 1
LCM(44230,44237) = ( 44230 × 44237) / 1
LCM(44230,44237) = 1956602510 / 1
LCM(44230,44237) = 1956602510

Least Common Multiple (LCM) of 44230 and 44237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44230 and 44237. First we will calculate the prime factors of 44230 and 44237.

Prime Factorization of 44230

Prime factors of 44230 are 2, 5, 4423. Prime factorization of 44230 in exponential form is:

44230 = 21 × 51 × 44231

Prime Factorization of 44237

Prime factors of 44237 are 31, 1427. Prime factorization of 44237 in exponential form is:

44237 = 311 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 44230 and 44237.

LCM(44230,44237) = 21 × 51 × 44231 × 311 × 14271
LCM(44230,44237) = 1956602510