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What is the Least Common Multiple of 26738 and 26742?

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 26738 and 26742 is 357513798.

LCM(26738,26742) = 357513798

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Least Common Multiple of 26738 and 26742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26738 and 26742, than apply into the LCM equation.

GCF(26738,26742) = 2
LCM(26738,26742) = ( 26738 × 26742) / 2
LCM(26738,26742) = 715027596 / 2
LCM(26738,26742) = 357513798

Least Common Multiple (LCM) of 26738 and 26742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26738 and 26742. First we will calculate the prime factors of 26738 and 26742.

Prime Factorization of 26738

Prime factors of 26738 are 2, 29, 461. Prime factorization of 26738 in exponential form is:

26738 = 21 × 291 × 4611

Prime Factorization of 26742

Prime factors of 26742 are 2, 3, 4457. Prime factorization of 26742 in exponential form is:

26742 = 21 × 31 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 26738 and 26742.

LCM(26738,26742) = 21 × 291 × 4611 × 31 × 44571
LCM(26738,26742) = 357513798