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What is the Least Common Multiple of 26778 and 26790?

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 26778 and 26790 is 119563770.

LCM(26778,26790) = 119563770

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Least Common Multiple of 26778 and 26790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26778 and 26790, than apply into the LCM equation.

GCF(26778,26790) = 6
LCM(26778,26790) = ( 26778 × 26790) / 6
LCM(26778,26790) = 717382620 / 6
LCM(26778,26790) = 119563770

Least Common Multiple (LCM) of 26778 and 26790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26778 and 26790. First we will calculate the prime factors of 26778 and 26790.

Prime Factorization of 26778

Prime factors of 26778 are 2, 3, 4463. Prime factorization of 26778 in exponential form is:

26778 = 21 × 31 × 44631

Prime Factorization of 26790

Prime factors of 26790 are 2, 3, 5, 19, 47. Prime factorization of 26790 in exponential form is:

26790 = 21 × 31 × 51 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 26778 and 26790.

LCM(26778,26790) = 21 × 31 × 44631 × 51 × 191 × 471
LCM(26778,26790) = 119563770