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What is the Least Common Multiple of 16330 and 16337?

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 16330 and 16337 is 266783210.

LCM(16330,16337) = 266783210

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Least Common Multiple of 16330 and 16337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16330 and 16337, than apply into the LCM equation.

GCF(16330,16337) = 1
LCM(16330,16337) = ( 16330 × 16337) / 1
LCM(16330,16337) = 266783210 / 1
LCM(16330,16337) = 266783210

Least Common Multiple (LCM) of 16330 and 16337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16330 and 16337. First we will calculate the prime factors of 16330 and 16337.

Prime Factorization of 16330

Prime factors of 16330 are 2, 5, 23, 71. Prime factorization of 16330 in exponential form is:

16330 = 21 × 51 × 231 × 711

Prime Factorization of 16337

Prime factors of 16337 are 17, 31. Prime factorization of 16337 in exponential form is:

16337 = 171 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 16330 and 16337.

LCM(16330,16337) = 21 × 51 × 231 × 711 × 171 × 312
LCM(16330,16337) = 266783210