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What is the Least Common Multiple of 33613 and 33623?

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 33613 and 33623 is 1130169899.

LCM(33613,33623) = 1130169899

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Least Common Multiple of 33613 and 33623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33613 and 33623, than apply into the LCM equation.

GCF(33613,33623) = 1
LCM(33613,33623) = ( 33613 × 33623) / 1
LCM(33613,33623) = 1130169899 / 1
LCM(33613,33623) = 1130169899

Least Common Multiple (LCM) of 33613 and 33623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33613 and 33623. First we will calculate the prime factors of 33613 and 33623.

Prime Factorization of 33613

Prime factors of 33613 are 33613. Prime factorization of 33613 in exponential form is:

33613 = 336131

Prime Factorization of 33623

Prime factors of 33623 are 33623. Prime factorization of 33623 in exponential form is:

33623 = 336231

Now multiplying the highest exponent prime factors to calculate the LCM of 33613 and 33623.

LCM(33613,33623) = 336131 × 336231
LCM(33613,33623) = 1130169899