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What is the Least Common Multiple of 39373 and 39378?

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 39373 and 39378 is 1550429994.

LCM(39373,39378) = 1550429994

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Least Common Multiple of 39373 and 39378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39373 and 39378, than apply into the LCM equation.

GCF(39373,39378) = 1
LCM(39373,39378) = ( 39373 × 39378) / 1
LCM(39373,39378) = 1550429994 / 1
LCM(39373,39378) = 1550429994

Least Common Multiple (LCM) of 39373 and 39378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39373 and 39378. First we will calculate the prime factors of 39373 and 39378.

Prime Factorization of 39373

Prime factors of 39373 are 39373. Prime factorization of 39373 in exponential form is:

39373 = 393731

Prime Factorization of 39378

Prime factors of 39378 are 2, 3, 6563. Prime factorization of 39378 in exponential form is:

39378 = 21 × 31 × 65631

Now multiplying the highest exponent prime factors to calculate the LCM of 39373 and 39378.

LCM(39373,39378) = 393731 × 21 × 31 × 65631
LCM(39373,39378) = 1550429994