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What is the Least Common Multiple of 18616 and 18630?

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 18616 and 18630 is 173408040.

LCM(18616,18630) = 173408040

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Least Common Multiple of 18616 and 18630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18616 and 18630, than apply into the LCM equation.

GCF(18616,18630) = 2
LCM(18616,18630) = ( 18616 × 18630) / 2
LCM(18616,18630) = 346816080 / 2
LCM(18616,18630) = 173408040

Least Common Multiple (LCM) of 18616 and 18630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18616 and 18630. First we will calculate the prime factors of 18616 and 18630.

Prime Factorization of 18616

Prime factors of 18616 are 2, 13, 179. Prime factorization of 18616 in exponential form is:

18616 = 23 × 131 × 1791

Prime Factorization of 18630

Prime factors of 18630 are 2, 3, 5, 23. Prime factorization of 18630 in exponential form is:

18630 = 21 × 34 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18616 and 18630.

LCM(18616,18630) = 23 × 131 × 1791 × 34 × 51 × 231
LCM(18616,18630) = 173408040