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What is the Least Common Multiple of 18522 and 18542?

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 18522 and 18542 is 171717462.

LCM(18522,18542) = 171717462

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Least Common Multiple of 18522 and 18542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18522 and 18542, than apply into the LCM equation.

GCF(18522,18542) = 2
LCM(18522,18542) = ( 18522 × 18542) / 2
LCM(18522,18542) = 343434924 / 2
LCM(18522,18542) = 171717462

Least Common Multiple (LCM) of 18522 and 18542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18522 and 18542. First we will calculate the prime factors of 18522 and 18542.

Prime Factorization of 18522

Prime factors of 18522 are 2, 3, 7. Prime factorization of 18522 in exponential form is:

18522 = 21 × 33 × 73

Prime Factorization of 18542

Prime factors of 18542 are 2, 73, 127. Prime factorization of 18542 in exponential form is:

18542 = 21 × 731 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 18522 and 18542.

LCM(18522,18542) = 21 × 33 × 73 × 731 × 1271
LCM(18522,18542) = 171717462