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What is the Least Common Multiple of 16101 and 16120?

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 16101 and 16120 is 259548120.

LCM(16101,16120) = 259548120

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Least Common Multiple of 16101 and 16120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16101 and 16120, than apply into the LCM equation.

GCF(16101,16120) = 1
LCM(16101,16120) = ( 16101 × 16120) / 1
LCM(16101,16120) = 259548120 / 1
LCM(16101,16120) = 259548120

Least Common Multiple (LCM) of 16101 and 16120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16101 and 16120. First we will calculate the prime factors of 16101 and 16120.

Prime Factorization of 16101

Prime factors of 16101 are 3, 1789. Prime factorization of 16101 in exponential form is:

16101 = 32 × 17891

Prime Factorization of 16120

Prime factors of 16120 are 2, 5, 13, 31. Prime factorization of 16120 in exponential form is:

16120 = 23 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 16101 and 16120.

LCM(16101,16120) = 32 × 17891 × 23 × 51 × 131 × 311
LCM(16101,16120) = 259548120