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What is the Least Common Multiple of 18235 and 18254?

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 18235 and 18254 is 332861690.

LCM(18235,18254) = 332861690

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Least Common Multiple of 18235 and 18254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18235 and 18254, than apply into the LCM equation.

GCF(18235,18254) = 1
LCM(18235,18254) = ( 18235 × 18254) / 1
LCM(18235,18254) = 332861690 / 1
LCM(18235,18254) = 332861690

Least Common Multiple (LCM) of 18235 and 18254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18235 and 18254. First we will calculate the prime factors of 18235 and 18254.

Prime Factorization of 18235

Prime factors of 18235 are 5, 7, 521. Prime factorization of 18235 in exponential form is:

18235 = 51 × 71 × 5211

Prime Factorization of 18254

Prime factors of 18254 are 2, 9127. Prime factorization of 18254 in exponential form is:

18254 = 21 × 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 18235 and 18254.

LCM(18235,18254) = 51 × 71 × 5211 × 21 × 91271
LCM(18235,18254) = 332861690