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What is the Least Common Multiple of 16515 and 16531?

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 16515 and 16531 is 273009465.

LCM(16515,16531) = 273009465

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Least Common Multiple of 16515 and 16531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16515 and 16531, than apply into the LCM equation.

GCF(16515,16531) = 1
LCM(16515,16531) = ( 16515 × 16531) / 1
LCM(16515,16531) = 273009465 / 1
LCM(16515,16531) = 273009465

Least Common Multiple (LCM) of 16515 and 16531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16515 and 16531. First we will calculate the prime factors of 16515 and 16531.

Prime Factorization of 16515

Prime factors of 16515 are 3, 5, 367. Prime factorization of 16515 in exponential form is:

16515 = 32 × 51 × 3671

Prime Factorization of 16531

Prime factors of 16531 are 61, 271. Prime factorization of 16531 in exponential form is:

16531 = 611 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 16515 and 16531.

LCM(16515,16531) = 32 × 51 × 3671 × 611 × 2711
LCM(16515,16531) = 273009465