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What is the Least Common Multiple of 26730 and 26744?

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 26730 and 26744 is 357433560.

LCM(26730,26744) = 357433560

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Least Common Multiple of 26730 and 26744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26730 and 26744, than apply into the LCM equation.

GCF(26730,26744) = 2
LCM(26730,26744) = ( 26730 × 26744) / 2
LCM(26730,26744) = 714867120 / 2
LCM(26730,26744) = 357433560

Least Common Multiple (LCM) of 26730 and 26744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26730 and 26744. First we will calculate the prime factors of 26730 and 26744.

Prime Factorization of 26730

Prime factors of 26730 are 2, 3, 5, 11. Prime factorization of 26730 in exponential form is:

26730 = 21 × 35 × 51 × 111

Prime Factorization of 26744

Prime factors of 26744 are 2, 3343. Prime factorization of 26744 in exponential form is:

26744 = 23 × 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 26730 and 26744.

LCM(26730,26744) = 23 × 35 × 51 × 111 × 33431
LCM(26730,26744) = 357433560