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What is the Least Common Multiple of 40373 and 40386?

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 40386 is 1630503978.

LCM(40373,40386) = 1630503978

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Least Common Multiple of 40373 and 40386 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 40386, than apply into the LCM equation.

GCF(40373,40386) = 1
LCM(40373,40386) = ( 40373 × 40386) / 1
LCM(40373,40386) = 1630503978 / 1
LCM(40373,40386) = 1630503978

Least Common Multiple (LCM) of 40373 and 40386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40373 and 40386. First we will calculate the prime factors of 40373 and 40386.

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 40386

Prime factors of 40386 are 2, 3, 53, 127. Prime factorization of 40386 in exponential form is:

40386 = 21 × 31 × 531 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 40373 and 40386.

LCM(40373,40386) = 471 × 8591 × 21 × 31 × 531 × 1271
LCM(40373,40386) = 1630503978