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What is the Least Common Multiple of 40177 and 40195?

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 40177 and 40195 is 1614914515.

LCM(40177,40195) = 1614914515

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Least Common Multiple of 40177 and 40195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40177 and 40195, than apply into the LCM equation.

GCF(40177,40195) = 1
LCM(40177,40195) = ( 40177 × 40195) / 1
LCM(40177,40195) = 1614914515 / 1
LCM(40177,40195) = 1614914515

Least Common Multiple (LCM) of 40177 and 40195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40177 and 40195. First we will calculate the prime factors of 40177 and 40195.

Prime Factorization of 40177

Prime factors of 40177 are 40177. Prime factorization of 40177 in exponential form is:

40177 = 401771

Prime Factorization of 40195

Prime factors of 40195 are 5, 8039. Prime factorization of 40195 in exponential form is:

40195 = 51 × 80391

Now multiplying the highest exponent prime factors to calculate the LCM of 40177 and 40195.

LCM(40177,40195) = 401771 × 51 × 80391
LCM(40177,40195) = 1614914515