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What is the Least Common Multiple of 26686 and 26690?

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 26686 and 26690 is 356124670.

LCM(26686,26690) = 356124670

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Least Common Multiple of 26686 and 26690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26686 and 26690, than apply into the LCM equation.

GCF(26686,26690) = 2
LCM(26686,26690) = ( 26686 × 26690) / 2
LCM(26686,26690) = 712249340 / 2
LCM(26686,26690) = 356124670

Least Common Multiple (LCM) of 26686 and 26690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26686 and 26690. First we will calculate the prime factors of 26686 and 26690.

Prime Factorization of 26686

Prime factors of 26686 are 2, 11, 1213. Prime factorization of 26686 in exponential form is:

26686 = 21 × 111 × 12131

Prime Factorization of 26690

Prime factors of 26690 are 2, 5, 17, 157. Prime factorization of 26690 in exponential form is:

26690 = 21 × 51 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 26686 and 26690.

LCM(26686,26690) = 21 × 111 × 12131 × 51 × 171 × 1571
LCM(26686,26690) = 356124670