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What is the Least Common Multiple of 40551 and 40571?

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 40551 and 40571 is 1645194621.

LCM(40551,40571) = 1645194621

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Least Common Multiple of 40551 and 40571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40551 and 40571, than apply into the LCM equation.

GCF(40551,40571) = 1
LCM(40551,40571) = ( 40551 × 40571) / 1
LCM(40551,40571) = 1645194621 / 1
LCM(40551,40571) = 1645194621

Least Common Multiple (LCM) of 40551 and 40571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40551 and 40571. First we will calculate the prime factors of 40551 and 40571.

Prime Factorization of 40551

Prime factors of 40551 are 3, 7, 1931. Prime factorization of 40551 in exponential form is:

40551 = 31 × 71 × 19311

Prime Factorization of 40571

Prime factors of 40571 are 29, 1399. Prime factorization of 40571 in exponential form is:

40571 = 291 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 40551 and 40571.

LCM(40551,40571) = 31 × 71 × 19311 × 291 × 13991
LCM(40551,40571) = 1645194621