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What is the Least Common Multiple of 38373 and 38377?

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 38373 and 38377 is 1472640621.

LCM(38373,38377) = 1472640621

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Least Common Multiple of 38373 and 38377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38373 and 38377, than apply into the LCM equation.

GCF(38373,38377) = 1
LCM(38373,38377) = ( 38373 × 38377) / 1
LCM(38373,38377) = 1472640621 / 1
LCM(38373,38377) = 1472640621

Least Common Multiple (LCM) of 38373 and 38377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38373 and 38377. First we will calculate the prime factors of 38373 and 38377.

Prime Factorization of 38373

Prime factors of 38373 are 3, 12791. Prime factorization of 38373 in exponential form is:

38373 = 31 × 127911

Prime Factorization of 38377

Prime factors of 38377 are 38377. Prime factorization of 38377 in exponential form is:

38377 = 383771

Now multiplying the highest exponent prime factors to calculate the LCM of 38373 and 38377.

LCM(38373,38377) = 31 × 127911 × 383771
LCM(38373,38377) = 1472640621