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What is the Least Common Multiple of 16460 and 16474?

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 16460 and 16474 is 135581020.

LCM(16460,16474) = 135581020

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Least Common Multiple of 16460 and 16474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16460 and 16474, than apply into the LCM equation.

GCF(16460,16474) = 2
LCM(16460,16474) = ( 16460 × 16474) / 2
LCM(16460,16474) = 271162040 / 2
LCM(16460,16474) = 135581020

Least Common Multiple (LCM) of 16460 and 16474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16460 and 16474. First we will calculate the prime factors of 16460 and 16474.

Prime Factorization of 16460

Prime factors of 16460 are 2, 5, 823. Prime factorization of 16460 in exponential form is:

16460 = 22 × 51 × 8231

Prime Factorization of 16474

Prime factors of 16474 are 2, 8237. Prime factorization of 16474 in exponential form is:

16474 = 21 × 82371

Now multiplying the highest exponent prime factors to calculate the LCM of 16460 and 16474.

LCM(16460,16474) = 22 × 51 × 8231 × 82371
LCM(16460,16474) = 135581020