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What is the Least Common Multiple of 18092 and 18097?

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 18092 and 18097 is 327410924.

LCM(18092,18097) = 327410924

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Least Common Multiple of 18092 and 18097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18092 and 18097, than apply into the LCM equation.

GCF(18092,18097) = 1
LCM(18092,18097) = ( 18092 × 18097) / 1
LCM(18092,18097) = 327410924 / 1
LCM(18092,18097) = 327410924

Least Common Multiple (LCM) of 18092 and 18097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18092 and 18097. First we will calculate the prime factors of 18092 and 18097.

Prime Factorization of 18092

Prime factors of 18092 are 2, 4523. Prime factorization of 18092 in exponential form is:

18092 = 22 × 45231

Prime Factorization of 18097

Prime factors of 18097 are 18097. Prime factorization of 18097 in exponential form is:

18097 = 180971

Now multiplying the highest exponent prime factors to calculate the LCM of 18092 and 18097.

LCM(18092,18097) = 22 × 45231 × 180971
LCM(18092,18097) = 327410924