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What is the Least Common Multiple of 40273 and 40287?

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 40273 and 40287 is 1622478351.

LCM(40273,40287) = 1622478351

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Least Common Multiple of 40273 and 40287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40273 and 40287, than apply into the LCM equation.

GCF(40273,40287) = 1
LCM(40273,40287) = ( 40273 × 40287) / 1
LCM(40273,40287) = 1622478351 / 1
LCM(40273,40287) = 1622478351

Least Common Multiple (LCM) of 40273 and 40287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40273 and 40287. First we will calculate the prime factors of 40273 and 40287.

Prime Factorization of 40273

Prime factors of 40273 are 17, 23, 103. Prime factorization of 40273 in exponential form is:

40273 = 171 × 231 × 1031

Prime Factorization of 40287

Prime factors of 40287 are 3, 13, 1033. Prime factorization of 40287 in exponential form is:

40287 = 31 × 131 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 40273 and 40287.

LCM(40273,40287) = 171 × 231 × 1031 × 31 × 131 × 10331
LCM(40273,40287) = 1622478351