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What is the Least Common Multiple of 18690 and 18704?

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 18690 and 18704 is 24969840.

LCM(18690,18704) = 24969840

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Least Common Multiple of 18690 and 18704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18690 and 18704, than apply into the LCM equation.

GCF(18690,18704) = 14
LCM(18690,18704) = ( 18690 × 18704) / 14
LCM(18690,18704) = 349577760 / 14
LCM(18690,18704) = 24969840

Least Common Multiple (LCM) of 18690 and 18704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18690 and 18704. First we will calculate the prime factors of 18690 and 18704.

Prime Factorization of 18690

Prime factors of 18690 are 2, 3, 5, 7, 89. Prime factorization of 18690 in exponential form is:

18690 = 21 × 31 × 51 × 71 × 891

Prime Factorization of 18704

Prime factors of 18704 are 2, 7, 167. Prime factorization of 18704 in exponential form is:

18704 = 24 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 18690 and 18704.

LCM(18690,18704) = 24 × 31 × 51 × 71 × 891 × 1671
LCM(18690,18704) = 24969840