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What is the Least Common Multiple of 40373 and 40385?

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 40373 and 40385 is 1630463605.

LCM(40373,40385) = 1630463605

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Least Common Multiple of 40373 and 40385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40373 and 40385, than apply into the LCM equation.

GCF(40373,40385) = 1
LCM(40373,40385) = ( 40373 × 40385) / 1
LCM(40373,40385) = 1630463605 / 1
LCM(40373,40385) = 1630463605

Least Common Multiple (LCM) of 40373 and 40385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40373 and 40385. First we will calculate the prime factors of 40373 and 40385.

Prime Factorization of 40373

Prime factors of 40373 are 47, 859. Prime factorization of 40373 in exponential form is:

40373 = 471 × 8591

Prime Factorization of 40385

Prime factors of 40385 are 5, 41, 197. Prime factorization of 40385 in exponential form is:

40385 = 51 × 411 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 40373 and 40385.

LCM(40373,40385) = 471 × 8591 × 51 × 411 × 1971
LCM(40373,40385) = 1630463605