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What is the Least Common Multiple of 18894 and 18906?

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 18894 and 18906 is 59534994.

LCM(18894,18906) = 59534994

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Least Common Multiple of 18894 and 18906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18894 and 18906, than apply into the LCM equation.

GCF(18894,18906) = 6
LCM(18894,18906) = ( 18894 × 18906) / 6
LCM(18894,18906) = 357209964 / 6
LCM(18894,18906) = 59534994

Least Common Multiple (LCM) of 18894 and 18906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18894 and 18906. First we will calculate the prime factors of 18894 and 18906.

Prime Factorization of 18894

Prime factors of 18894 are 2, 3, 47, 67. Prime factorization of 18894 in exponential form is:

18894 = 21 × 31 × 471 × 671

Prime Factorization of 18906

Prime factors of 18906 are 2, 3, 23, 137. Prime factorization of 18906 in exponential form is:

18906 = 21 × 31 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 18894 and 18906.

LCM(18894,18906) = 21 × 31 × 471 × 671 × 231 × 1371
LCM(18894,18906) = 59534994