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What is the Least Common Multiple of 18665 and 18670?

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 18665 and 18670 is 69695110.

LCM(18665,18670) = 69695110

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Least Common Multiple of 18665 and 18670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18665 and 18670, than apply into the LCM equation.

GCF(18665,18670) = 5
LCM(18665,18670) = ( 18665 × 18670) / 5
LCM(18665,18670) = 348475550 / 5
LCM(18665,18670) = 69695110

Least Common Multiple (LCM) of 18665 and 18670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18665 and 18670. First we will calculate the prime factors of 18665 and 18670.

Prime Factorization of 18665

Prime factors of 18665 are 5, 3733. Prime factorization of 18665 in exponential form is:

18665 = 51 × 37331

Prime Factorization of 18670

Prime factors of 18670 are 2, 5, 1867. Prime factorization of 18670 in exponential form is:

18670 = 21 × 51 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 18665 and 18670.

LCM(18665,18670) = 51 × 37331 × 21 × 18671
LCM(18665,18670) = 69695110