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What is the Least Common Multiple of 18653 and 18660?

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 18653 and 18660 is 348064980.

LCM(18653,18660) = 348064980

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Least Common Multiple of 18653 and 18660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18653 and 18660, than apply into the LCM equation.

GCF(18653,18660) = 1
LCM(18653,18660) = ( 18653 × 18660) / 1
LCM(18653,18660) = 348064980 / 1
LCM(18653,18660) = 348064980

Least Common Multiple (LCM) of 18653 and 18660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18653 and 18660. First we will calculate the prime factors of 18653 and 18660.

Prime Factorization of 18653

Prime factors of 18653 are 23, 811. Prime factorization of 18653 in exponential form is:

18653 = 231 × 8111

Prime Factorization of 18660

Prime factors of 18660 are 2, 3, 5, 311. Prime factorization of 18660 in exponential form is:

18660 = 22 × 31 × 51 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 18653 and 18660.

LCM(18653,18660) = 231 × 8111 × 22 × 31 × 51 × 3111
LCM(18653,18660) = 348064980