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What is the Least Common Multiple of 26853 and 26868?

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 26853 and 26868 is 240495468.

LCM(26853,26868) = 240495468

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Least Common Multiple of 26853 and 26868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26853 and 26868, than apply into the LCM equation.

GCF(26853,26868) = 3
LCM(26853,26868) = ( 26853 × 26868) / 3
LCM(26853,26868) = 721486404 / 3
LCM(26853,26868) = 240495468

Least Common Multiple (LCM) of 26853 and 26868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26853 and 26868. First we will calculate the prime factors of 26853 and 26868.

Prime Factorization of 26853

Prime factors of 26853 are 3, 8951. Prime factorization of 26853 in exponential form is:

26853 = 31 × 89511

Prime Factorization of 26868

Prime factors of 26868 are 2, 3, 2239. Prime factorization of 26868 in exponential form is:

26868 = 22 × 31 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 26853 and 26868.

LCM(26853,26868) = 31 × 89511 × 22 × 22391
LCM(26853,26868) = 240495468