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What is the Least Common Multiple of 5942 and 5948?

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 5942 and 5948 is 17671508.

LCM(5942,5948) = 17671508

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Least Common Multiple of 5942 and 5948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5942 and 5948, than apply into the LCM equation.

GCF(5942,5948) = 2
LCM(5942,5948) = ( 5942 × 5948) / 2
LCM(5942,5948) = 35343016 / 2
LCM(5942,5948) = 17671508

Least Common Multiple (LCM) of 5942 and 5948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5942 and 5948. First we will calculate the prime factors of 5942 and 5948.

Prime Factorization of 5942

Prime factors of 5942 are 2, 2971. Prime factorization of 5942 in exponential form is:

5942 = 21 × 29711

Prime Factorization of 5948

Prime factors of 5948 are 2, 1487. Prime factorization of 5948 in exponential form is:

5948 = 22 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 5942 and 5948.

LCM(5942,5948) = 22 × 29711 × 14871
LCM(5942,5948) = 17671508