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What is the Least Common Multiple of 26910 and 26926?

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 26910 and 26926 is 362289330.

LCM(26910,26926) = 362289330

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Least Common Multiple of 26910 and 26926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26910 and 26926, than apply into the LCM equation.

GCF(26910,26926) = 2
LCM(26910,26926) = ( 26910 × 26926) / 2
LCM(26910,26926) = 724578660 / 2
LCM(26910,26926) = 362289330

Least Common Multiple (LCM) of 26910 and 26926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26910 and 26926. First we will calculate the prime factors of 26910 and 26926.

Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 21 × 32 × 51 × 131 × 231

Prime Factorization of 26926

Prime factors of 26926 are 2, 13463. Prime factorization of 26926 in exponential form is:

26926 = 21 × 134631

Now multiplying the highest exponent prime factors to calculate the LCM of 26910 and 26926.

LCM(26910,26926) = 21 × 32 × 51 × 131 × 231 × 134631
LCM(26910,26926) = 362289330