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What is the Least Common Multiple of 18516 and 18533?

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 18516 and 18533 is 343157028.

LCM(18516,18533) = 343157028

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Least Common Multiple of 18516 and 18533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18516 and 18533, than apply into the LCM equation.

GCF(18516,18533) = 1
LCM(18516,18533) = ( 18516 × 18533) / 1
LCM(18516,18533) = 343157028 / 1
LCM(18516,18533) = 343157028

Least Common Multiple (LCM) of 18516 and 18533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18516 and 18533. First we will calculate the prime factors of 18516 and 18533.

Prime Factorization of 18516

Prime factors of 18516 are 2, 3, 1543. Prime factorization of 18516 in exponential form is:

18516 = 22 × 31 × 15431

Prime Factorization of 18533

Prime factors of 18533 are 43, 431. Prime factorization of 18533 in exponential form is:

18533 = 431 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 18516 and 18533.

LCM(18516,18533) = 22 × 31 × 15431 × 431 × 4311
LCM(18516,18533) = 343157028