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What is the Least Common Multiple of 18146 and 18156?

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 18146 and 18156 is 164729388.

LCM(18146,18156) = 164729388

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Least Common Multiple of 18146 and 18156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18146 and 18156, than apply into the LCM equation.

GCF(18146,18156) = 2
LCM(18146,18156) = ( 18146 × 18156) / 2
LCM(18146,18156) = 329458776 / 2
LCM(18146,18156) = 164729388

Least Common Multiple (LCM) of 18146 and 18156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18146 and 18156. First we will calculate the prime factors of 18146 and 18156.

Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 21 × 431 × 2111

Prime Factorization of 18156

Prime factors of 18156 are 2, 3, 17, 89. Prime factorization of 18156 in exponential form is:

18156 = 22 × 31 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 18146 and 18156.

LCM(18146,18156) = 22 × 431 × 2111 × 31 × 171 × 891
LCM(18146,18156) = 164729388