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What is the Least Common Multiple of 40597 and 40613?

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 40597 and 40613 is 1648765961.

LCM(40597,40613) = 1648765961

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Least Common Multiple of 40597 and 40613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40597 and 40613, than apply into the LCM equation.

GCF(40597,40613) = 1
LCM(40597,40613) = ( 40597 × 40613) / 1
LCM(40597,40613) = 1648765961 / 1
LCM(40597,40613) = 1648765961

Least Common Multiple (LCM) of 40597 and 40613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40597 and 40613. First we will calculate the prime factors of 40597 and 40613.

Prime Factorization of 40597

Prime factors of 40597 are 40597. Prime factorization of 40597 in exponential form is:

40597 = 405971

Prime Factorization of 40613

Prime factors of 40613 are 17, 2389. Prime factorization of 40613 in exponential form is:

40613 = 171 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 40597 and 40613.

LCM(40597,40613) = 405971 × 171 × 23891
LCM(40597,40613) = 1648765961