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What is the Least Common Multiple of 45691 and 45697?

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 45691 and 45697 is 2087941627.

LCM(45691,45697) = 2087941627

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Least Common Multiple of 45691 and 45697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45691 and 45697, than apply into the LCM equation.

GCF(45691,45697) = 1
LCM(45691,45697) = ( 45691 × 45697) / 1
LCM(45691,45697) = 2087941627 / 1
LCM(45691,45697) = 2087941627

Least Common Multiple (LCM) of 45691 and 45697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45691 and 45697. First we will calculate the prime factors of 45691 and 45697.

Prime Factorization of 45691

Prime factors of 45691 are 45691. Prime factorization of 45691 in exponential form is:

45691 = 456911

Prime Factorization of 45697

Prime factors of 45697 are 45697. Prime factorization of 45697 in exponential form is:

45697 = 456971

Now multiplying the highest exponent prime factors to calculate the LCM of 45691 and 45697.

LCM(45691,45697) = 456911 × 456971
LCM(45691,45697) = 2087941627