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What is the Least Common Multiple of 37423 and 37443?

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 37423 and 37443 is 1401229389.

LCM(37423,37443) = 1401229389

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Least Common Multiple of 37423 and 37443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37423 and 37443, than apply into the LCM equation.

GCF(37423,37443) = 1
LCM(37423,37443) = ( 37423 × 37443) / 1
LCM(37423,37443) = 1401229389 / 1
LCM(37423,37443) = 1401229389

Least Common Multiple (LCM) of 37423 and 37443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37423 and 37443. First we will calculate the prime factors of 37423 and 37443.

Prime Factorization of 37423

Prime factors of 37423 are 37423. Prime factorization of 37423 in exponential form is:

37423 = 374231

Prime Factorization of 37443

Prime factors of 37443 are 3, 7, 1783. Prime factorization of 37443 in exponential form is:

37443 = 31 × 71 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 37423 and 37443.

LCM(37423,37443) = 374231 × 31 × 71 × 17831
LCM(37423,37443) = 1401229389