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What is the Least Common Multiple of 18467 and 18483?

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 18467 and 18483 is 341325561.

LCM(18467,18483) = 341325561

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Least Common Multiple of 18467 and 18483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18467 and 18483, than apply into the LCM equation.

GCF(18467,18483) = 1
LCM(18467,18483) = ( 18467 × 18483) / 1
LCM(18467,18483) = 341325561 / 1
LCM(18467,18483) = 341325561

Least Common Multiple (LCM) of 18467 and 18483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18467 and 18483. First we will calculate the prime factors of 18467 and 18483.

Prime Factorization of 18467

Prime factors of 18467 are 59, 313. Prime factorization of 18467 in exponential form is:

18467 = 591 × 3131

Prime Factorization of 18483

Prime factors of 18483 are 3, 61, 101. Prime factorization of 18483 in exponential form is:

18483 = 31 × 611 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 18467 and 18483.

LCM(18467,18483) = 591 × 3131 × 31 × 611 × 1011
LCM(18467,18483) = 341325561