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What is the Least Common Multiple of 16250 and 16254?

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 16250 and 16254 is 132063750.

LCM(16250,16254) = 132063750

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Least Common Multiple of 16250 and 16254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16250 and 16254, than apply into the LCM equation.

GCF(16250,16254) = 2
LCM(16250,16254) = ( 16250 × 16254) / 2
LCM(16250,16254) = 264127500 / 2
LCM(16250,16254) = 132063750

Least Common Multiple (LCM) of 16250 and 16254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16250 and 16254. First we will calculate the prime factors of 16250 and 16254.

Prime Factorization of 16250

Prime factors of 16250 are 2, 5, 13. Prime factorization of 16250 in exponential form is:

16250 = 21 × 54 × 131

Prime Factorization of 16254

Prime factors of 16254 are 2, 3, 7, 43. Prime factorization of 16254 in exponential form is:

16254 = 21 × 33 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16250 and 16254.

LCM(16250,16254) = 21 × 54 × 131 × 33 × 71 × 431
LCM(16250,16254) = 132063750