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What is the Least Common Multiple of 17932 and 17948?

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 17932 and 17948 is 80460884.

LCM(17932,17948) = 80460884

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Least Common Multiple of 17932 and 17948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17932 and 17948, than apply into the LCM equation.

GCF(17932,17948) = 4
LCM(17932,17948) = ( 17932 × 17948) / 4
LCM(17932,17948) = 321843536 / 4
LCM(17932,17948) = 80460884

Least Common Multiple (LCM) of 17932 and 17948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17932 and 17948. First we will calculate the prime factors of 17932 and 17948.

Prime Factorization of 17932

Prime factors of 17932 are 2, 4483. Prime factorization of 17932 in exponential form is:

17932 = 22 × 44831

Prime Factorization of 17948

Prime factors of 17948 are 2, 7, 641. Prime factorization of 17948 in exponential form is:

17948 = 22 × 71 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 17932 and 17948.

LCM(17932,17948) = 22 × 44831 × 71 × 6411
LCM(17932,17948) = 80460884