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What is the Least Common Multiple of 40591 and 40611?

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 40591 and 40611 is 1648441101.

LCM(40591,40611) = 1648441101

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Least Common Multiple of 40591 and 40611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40591 and 40611, than apply into the LCM equation.

GCF(40591,40611) = 1
LCM(40591,40611) = ( 40591 × 40611) / 1
LCM(40591,40611) = 1648441101 / 1
LCM(40591,40611) = 1648441101

Least Common Multiple (LCM) of 40591 and 40611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40591 and 40611. First we will calculate the prime factors of 40591 and 40611.

Prime Factorization of 40591

Prime factors of 40591 are 40591. Prime factorization of 40591 in exponential form is:

40591 = 405911

Prime Factorization of 40611

Prime factors of 40611 are 3, 13537. Prime factorization of 40611 in exponential form is:

40611 = 31 × 135371

Now multiplying the highest exponent prime factors to calculate the LCM of 40591 and 40611.

LCM(40591,40611) = 405911 × 31 × 135371
LCM(40591,40611) = 1648441101