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What is the Least Common Multiple of 77411 and 77425?

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 77411 and 77425 is 5993546675.

LCM(77411,77425) = 5993546675

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Least Common Multiple of 77411 and 77425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77411 and 77425, than apply into the LCM equation.

GCF(77411,77425) = 1
LCM(77411,77425) = ( 77411 × 77425) / 1
LCM(77411,77425) = 5993546675 / 1
LCM(77411,77425) = 5993546675

Least Common Multiple (LCM) of 77411 and 77425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77411 and 77425. First we will calculate the prime factors of 77411 and 77425.

Prime Factorization of 77411

Prime factors of 77411 are 199, 389. Prime factorization of 77411 in exponential form is:

77411 = 1991 × 3891

Prime Factorization of 77425

Prime factors of 77425 are 5, 19, 163. Prime factorization of 77425 in exponential form is:

77425 = 52 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 77411 and 77425.

LCM(77411,77425) = 1991 × 3891 × 52 × 191 × 1631
LCM(77411,77425) = 5993546675