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What is the Least Common Multiple of 26942 and 26958?

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 26942 and 26958 is 363151218.

LCM(26942,26958) = 363151218

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Least Common Multiple of 26942 and 26958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26942 and 26958, than apply into the LCM equation.

GCF(26942,26958) = 2
LCM(26942,26958) = ( 26942 × 26958) / 2
LCM(26942,26958) = 726302436 / 2
LCM(26942,26958) = 363151218

Least Common Multiple (LCM) of 26942 and 26958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26942 and 26958. First we will calculate the prime factors of 26942 and 26958.

Prime Factorization of 26942

Prime factors of 26942 are 2, 19, 709. Prime factorization of 26942 in exponential form is:

26942 = 21 × 191 × 7091

Prime Factorization of 26958

Prime factors of 26958 are 2, 3, 4493. Prime factorization of 26958 in exponential form is:

26958 = 21 × 31 × 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 26942 and 26958.

LCM(26942,26958) = 21 × 191 × 7091 × 31 × 44931
LCM(26942,26958) = 363151218