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What is the Least Common Multiple of 18923 and 18942?

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 18923 and 18942 is 358439466.

LCM(18923,18942) = 358439466

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Least Common Multiple of 18923 and 18942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18923 and 18942, than apply into the LCM equation.

GCF(18923,18942) = 1
LCM(18923,18942) = ( 18923 × 18942) / 1
LCM(18923,18942) = 358439466 / 1
LCM(18923,18942) = 358439466

Least Common Multiple (LCM) of 18923 and 18942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18923 and 18942. First we will calculate the prime factors of 18923 and 18942.

Prime Factorization of 18923

Prime factors of 18923 are 127, 149. Prime factorization of 18923 in exponential form is:

18923 = 1271 × 1491

Prime Factorization of 18942

Prime factors of 18942 are 2, 3, 7, 11, 41. Prime factorization of 18942 in exponential form is:

18942 = 21 × 31 × 71 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18923 and 18942.

LCM(18923,18942) = 1271 × 1491 × 21 × 31 × 71 × 111 × 411
LCM(18923,18942) = 358439466