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What is the Least Common Multiple of 18250 and 18259?

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 18250 and 18259 is 333226750.

LCM(18250,18259) = 333226750

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Least Common Multiple of 18250 and 18259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18250 and 18259, than apply into the LCM equation.

GCF(18250,18259) = 1
LCM(18250,18259) = ( 18250 × 18259) / 1
LCM(18250,18259) = 333226750 / 1
LCM(18250,18259) = 333226750

Least Common Multiple (LCM) of 18250 and 18259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18250 and 18259. First we will calculate the prime factors of 18250 and 18259.

Prime Factorization of 18250

Prime factors of 18250 are 2, 5, 73. Prime factorization of 18250 in exponential form is:

18250 = 21 × 53 × 731

Prime Factorization of 18259

Prime factors of 18259 are 19, 31. Prime factorization of 18259 in exponential form is:

18259 = 191 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 18250 and 18259.

LCM(18250,18259) = 21 × 53 × 731 × 191 × 312
LCM(18250,18259) = 333226750