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What is the Least Common Multiple of 18661 and 18671?

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 18661 and 18671 is 348419531.

LCM(18661,18671) = 348419531

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Least Common Multiple of 18661 and 18671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18661 and 18671, than apply into the LCM equation.

GCF(18661,18671) = 1
LCM(18661,18671) = ( 18661 × 18671) / 1
LCM(18661,18671) = 348419531 / 1
LCM(18661,18671) = 348419531

Least Common Multiple (LCM) of 18661 and 18671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18661 and 18671. First we will calculate the prime factors of 18661 and 18671.

Prime Factorization of 18661

Prime factors of 18661 are 18661. Prime factorization of 18661 in exponential form is:

18661 = 186611

Prime Factorization of 18671

Prime factors of 18671 are 18671. Prime factorization of 18671 in exponential form is:

18671 = 186711

Now multiplying the highest exponent prime factors to calculate the LCM of 18661 and 18671.

LCM(18661,18671) = 186611 × 186711
LCM(18661,18671) = 348419531