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What is the Least Common Multiple of 56406 and 56425?

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 56406 and 56425 is 3182708550.

LCM(56406,56425) = 3182708550

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Least Common Multiple of 56406 and 56425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56406 and 56425, than apply into the LCM equation.

GCF(56406,56425) = 1
LCM(56406,56425) = ( 56406 × 56425) / 1
LCM(56406,56425) = 3182708550 / 1
LCM(56406,56425) = 3182708550

Least Common Multiple (LCM) of 56406 and 56425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56406 and 56425. First we will calculate the prime factors of 56406 and 56425.

Prime Factorization of 56406

Prime factors of 56406 are 2, 3, 7, 17, 79. Prime factorization of 56406 in exponential form is:

56406 = 21 × 31 × 71 × 171 × 791

Prime Factorization of 56425

Prime factors of 56425 are 5, 37, 61. Prime factorization of 56425 in exponential form is:

56425 = 52 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 56406 and 56425.

LCM(56406,56425) = 21 × 31 × 71 × 171 × 791 × 52 × 371 × 611
LCM(56406,56425) = 3182708550