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What is the Least Common Multiple of 41411 and 41425?

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 41411 and 41425 is 1715450675.

LCM(41411,41425) = 1715450675

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Least Common Multiple of 41411 and 41425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41411 and 41425, than apply into the LCM equation.

GCF(41411,41425) = 1
LCM(41411,41425) = ( 41411 × 41425) / 1
LCM(41411,41425) = 1715450675 / 1
LCM(41411,41425) = 1715450675

Least Common Multiple (LCM) of 41411 and 41425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41411 and 41425. First we will calculate the prime factors of 41411 and 41425.

Prime Factorization of 41411

Prime factors of 41411 are 41411. Prime factorization of 41411 in exponential form is:

41411 = 414111

Prime Factorization of 41425

Prime factors of 41425 are 5, 1657. Prime factorization of 41425 in exponential form is:

41425 = 52 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 41411 and 41425.

LCM(41411,41425) = 414111 × 52 × 16571
LCM(41411,41425) = 1715450675