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What is the Least Common Multiple of 7942 and 7958?

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 7942 and 7958 is 31601218.

LCM(7942,7958) = 31601218

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Least Common Multiple of 7942 and 7958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7942 and 7958, than apply into the LCM equation.

GCF(7942,7958) = 2
LCM(7942,7958) = ( 7942 × 7958) / 2
LCM(7942,7958) = 63202436 / 2
LCM(7942,7958) = 31601218

Least Common Multiple (LCM) of 7942 and 7958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7942 and 7958. First we will calculate the prime factors of 7942 and 7958.

Prime Factorization of 7942

Prime factors of 7942 are 2, 11, 19. Prime factorization of 7942 in exponential form is:

7942 = 21 × 111 × 192

Prime Factorization of 7958

Prime factors of 7958 are 2, 23, 173. Prime factorization of 7958 in exponential form is:

7958 = 21 × 231 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7942 and 7958.

LCM(7942,7958) = 21 × 111 × 192 × 231 × 1731
LCM(7942,7958) = 31601218