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What is the Least Common Multiple of 26868 and 26884?

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 26868 and 26884 is 180579828.

LCM(26868,26884) = 180579828

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Least Common Multiple of 26868 and 26884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26868 and 26884, than apply into the LCM equation.

GCF(26868,26884) = 4
LCM(26868,26884) = ( 26868 × 26884) / 4
LCM(26868,26884) = 722319312 / 4
LCM(26868,26884) = 180579828

Least Common Multiple (LCM) of 26868 and 26884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26868 and 26884. First we will calculate the prime factors of 26868 and 26884.

Prime Factorization of 26868

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

26868 = 22 × 31 × 22391

Prime Factorization of 26884

Prime factors of 26884 are 2, 11, 13, 47. Prime factorization of 26884 in exponential form is:

26884 = 22 × 111 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 26868 and 26884.

LCM(26868,26884) = 22 × 31 × 22391 × 111 × 131 × 471
LCM(26868,26884) = 180579828