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What is the Least Common Multiple of 26892 and 26910?

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 26892 and 26910 is 40203540.

LCM(26892,26910) = 40203540

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Least Common Multiple of 26892 and 26910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26910, than apply into the LCM equation.

GCF(26892,26910) = 18
LCM(26892,26910) = ( 26892 × 26910) / 18
LCM(26892,26910) = 723663720 / 18
LCM(26892,26910) = 40203540

Least Common Multiple (LCM) of 26892 and 26910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26910. First we will calculate the prime factors of 26892 and 26910.

Prime Factorization of 26892

Prime factors of 26892 are 2, 3, 83. Prime factorization of 26892 in exponential form is:

26892 = 22 × 34 × 831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26910.

LCM(26892,26910) = 22 × 34 × 831 × 51 × 131 × 231
LCM(26892,26910) = 40203540