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What is the Least Common Multiple of 38934 and 38943?

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 38934 and 38943 is 168467418.

LCM(38934,38943) = 168467418

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Least Common Multiple of 38934 and 38943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38934 and 38943, than apply into the LCM equation.

GCF(38934,38943) = 9
LCM(38934,38943) = ( 38934 × 38943) / 9
LCM(38934,38943) = 1516206762 / 9
LCM(38934,38943) = 168467418

Least Common Multiple (LCM) of 38934 and 38943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38934 and 38943. First we will calculate the prime factors of 38934 and 38943.

Prime Factorization of 38934

Prime factors of 38934 are 2, 3, 7, 103. Prime factorization of 38934 in exponential form is:

38934 = 21 × 33 × 71 × 1031

Prime Factorization of 38943

Prime factors of 38943 are 3, 4327. Prime factorization of 38943 in exponential form is:

38943 = 32 × 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 38934 and 38943.

LCM(38934,38943) = 21 × 33 × 71 × 1031 × 43271
LCM(38934,38943) = 168467418