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What is the Least Common Multiple of 26682 and 26692?

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 26682 and 26692 is 356097972.

LCM(26682,26692) = 356097972

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Least Common Multiple of 26682 and 26692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26682 and 26692, than apply into the LCM equation.

GCF(26682,26692) = 2
LCM(26682,26692) = ( 26682 × 26692) / 2
LCM(26682,26692) = 712195944 / 2
LCM(26682,26692) = 356097972

Least Common Multiple (LCM) of 26682 and 26692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26682 and 26692. First we will calculate the prime factors of 26682 and 26692.

Prime Factorization of 26682

Prime factors of 26682 are 2, 3, 4447. Prime factorization of 26682 in exponential form is:

26682 = 21 × 31 × 44471

Prime Factorization of 26692

Prime factors of 26692 are 2, 6673. Prime factorization of 26692 in exponential form is:

26692 = 22 × 66731

Now multiplying the highest exponent prime factors to calculate the LCM of 26682 and 26692.

LCM(26682,26692) = 22 × 31 × 44471 × 66731
LCM(26682,26692) = 356097972