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What is the Least Common Multiple of 75476 and 75494?

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 75476 and 75494 is 2848992572.

LCM(75476,75494) = 2848992572

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Least Common Multiple of 75476 and 75494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75476 and 75494, than apply into the LCM equation.

GCF(75476,75494) = 2
LCM(75476,75494) = ( 75476 × 75494) / 2
LCM(75476,75494) = 5697985144 / 2
LCM(75476,75494) = 2848992572

Least Common Multiple (LCM) of 75476 and 75494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75476 and 75494. First we will calculate the prime factors of 75476 and 75494.

Prime Factorization of 75476

Prime factors of 75476 are 2, 18869. Prime factorization of 75476 in exponential form is:

75476 = 22 × 188691

Prime Factorization of 75494

Prime factors of 75494 are 2, 37747. Prime factorization of 75494 in exponential form is:

75494 = 21 × 377471

Now multiplying the highest exponent prime factors to calculate the LCM of 75476 and 75494.

LCM(75476,75494) = 22 × 188691 × 377471
LCM(75476,75494) = 2848992572