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What is the Least Common Multiple of 16460 and 16472?

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 16472 is 67782280.

LCM(16460,16472) = 67782280

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Least Common Multiple of 16460 and 16472 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 16472, than apply into the LCM equation.

GCF(16460,16472) = 4
LCM(16460,16472) = ( 16460 × 16472) / 4
LCM(16460,16472) = 271129120 / 4
LCM(16460,16472) = 67782280

Least Common Multiple (LCM) of 16460 and 16472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16460 and 16472. First we will calculate the prime factors of 16460 and 16472.

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 16472

Prime factors of 16472 are 2, 29, 71. Prime factorization of 16472 in exponential form is:

16472 = 23 × 291 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16460 and 16472.

LCM(16460,16472) = 23 × 51 × 8231 × 291 × 711
LCM(16460,16472) = 67782280