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What is the Least Common Multiple of 18932 and 18948?

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 18932 and 18948 is 89680884.

LCM(18932,18948) = 89680884

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Least Common Multiple of 18932 and 18948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18932 and 18948, than apply into the LCM equation.

GCF(18932,18948) = 4
LCM(18932,18948) = ( 18932 × 18948) / 4
LCM(18932,18948) = 358723536 / 4
LCM(18932,18948) = 89680884

Least Common Multiple (LCM) of 18932 and 18948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18932 and 18948. First we will calculate the prime factors of 18932 and 18948.

Prime Factorization of 18932

Prime factors of 18932 are 2, 4733. Prime factorization of 18932 in exponential form is:

18932 = 22 × 47331

Prime Factorization of 18948

Prime factors of 18948 are 2, 3, 1579. Prime factorization of 18948 in exponential form is:

18948 = 22 × 31 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 18932 and 18948.

LCM(18932,18948) = 22 × 47331 × 31 × 15791
LCM(18932,18948) = 89680884