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What is the Least Common Multiple of 17928 and 17938?

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 17928 and 17938 is 160796232.

LCM(17928,17938) = 160796232

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Least Common Multiple of 17928 and 17938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17928 and 17938, than apply into the LCM equation.

GCF(17928,17938) = 2
LCM(17928,17938) = ( 17928 × 17938) / 2
LCM(17928,17938) = 321592464 / 2
LCM(17928,17938) = 160796232

Least Common Multiple (LCM) of 17928 and 17938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17928 and 17938. First we will calculate the prime factors of 17928 and 17938.

Prime Factorization of 17928

Prime factors of 17928 are 2, 3, 83. Prime factorization of 17928 in exponential form is:

17928 = 23 × 33 × 831

Prime Factorization of 17938

Prime factors of 17938 are 2, 8969. Prime factorization of 17938 in exponential form is:

17938 = 21 × 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 17928 and 17938.

LCM(17928,17938) = 23 × 33 × 831 × 89691
LCM(17928,17938) = 160796232