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What is the Least Common Multiple of 26550 and 26568?

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 26550 and 26568 is 39187800.

LCM(26550,26568) = 39187800

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Least Common Multiple of 26550 and 26568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26550 and 26568, than apply into the LCM equation.

GCF(26550,26568) = 18
LCM(26550,26568) = ( 26550 × 26568) / 18
LCM(26550,26568) = 705380400 / 18
LCM(26550,26568) = 39187800

Least Common Multiple (LCM) of 26550 and 26568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26550 and 26568. First we will calculate the prime factors of 26550 and 26568.

Prime Factorization of 26550

Prime factors of 26550 are 2, 3, 5, 59. Prime factorization of 26550 in exponential form is:

26550 = 21 × 32 × 52 × 591

Prime Factorization of 26568

Prime factors of 26568 are 2, 3, 41. Prime factorization of 26568 in exponential form is:

26568 = 23 × 34 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 26550 and 26568.

LCM(26550,26568) = 23 × 34 × 52 × 591 × 411
LCM(26550,26568) = 39187800