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What is the Least Common Multiple of 26736 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 26736 and 26742 is 119162352.

LCM(26736,26742) = 119162352

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Least Common Multiple of 26736 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 26736 and 26742, than apply into the LCM equation.

GCF(26736,26742) = 6
LCM(26736,26742) = ( 26736 × 26742) / 6
LCM(26736,26742) = 714974112 / 6
LCM(26736,26742) = 119162352

Least Common Multiple (LCM) of 26736 and 26742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26736 and 26742. First we will calculate the prime factors of 26736 and 26742.

Prime Factorization of 26736

Prime factors of 26736 are 2, 3, 557. Prime factorization of 26736 in exponential form is:

26736 = 24 × 31 × 5571

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 26736 and 26742.

LCM(26736,26742) = 24 × 31 × 5571 × 44571
LCM(26736,26742) = 119162352