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What is the Least Common Multiple of 18680 and 18689?

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 18680 and 18689 is 349110520.

LCM(18680,18689) = 349110520

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Least Common Multiple of 18680 and 18689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18680 and 18689, than apply into the LCM equation.

GCF(18680,18689) = 1
LCM(18680,18689) = ( 18680 × 18689) / 1
LCM(18680,18689) = 349110520 / 1
LCM(18680,18689) = 349110520

Least Common Multiple (LCM) of 18680 and 18689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18680 and 18689. First we will calculate the prime factors of 18680 and 18689.

Prime Factorization of 18680

Prime factors of 18680 are 2, 5, 467. Prime factorization of 18680 in exponential form is:

18680 = 23 × 51 × 4671

Prime Factorization of 18689

Prime factors of 18689 are 11, 1699. Prime factorization of 18689 in exponential form is:

18689 = 111 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 18680 and 18689.

LCM(18680,18689) = 23 × 51 × 4671 × 111 × 16991
LCM(18680,18689) = 349110520