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What is the Least Common Multiple of 8934 and 8948?

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 8934 and 8948 is 39970716.

LCM(8934,8948) = 39970716

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Least Common Multiple of 8934 and 8948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8934 and 8948, than apply into the LCM equation.

GCF(8934,8948) = 2
LCM(8934,8948) = ( 8934 × 8948) / 2
LCM(8934,8948) = 79941432 / 2
LCM(8934,8948) = 39970716

Least Common Multiple (LCM) of 8934 and 8948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8948. First we will calculate the prime factors of 8934 and 8948.

Prime Factorization of 8934

Prime factors of 8934 are 2, 3, 1489. Prime factorization of 8934 in exponential form is:

8934 = 21 × 31 × 14891

Prime Factorization of 8948

Prime factors of 8948 are 2, 2237. Prime factorization of 8948 in exponential form is:

8948 = 22 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 8934 and 8948.

LCM(8934,8948) = 22 × 31 × 14891 × 22371
LCM(8934,8948) = 39970716