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What is the Least Common Multiple of 26852 and 26863?

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 26852 and 26863 is 721325276.

LCM(26852,26863) = 721325276

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Least Common Multiple of 26852 and 26863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26852 and 26863, than apply into the LCM equation.

GCF(26852,26863) = 1
LCM(26852,26863) = ( 26852 × 26863) / 1
LCM(26852,26863) = 721325276 / 1
LCM(26852,26863) = 721325276

Least Common Multiple (LCM) of 26852 and 26863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26852 and 26863. First we will calculate the prime factors of 26852 and 26863.

Prime Factorization of 26852

Prime factors of 26852 are 2, 7, 137. Prime factorization of 26852 in exponential form is:

26852 = 22 × 72 × 1371

Prime Factorization of 26863

Prime factors of 26863 are 26863. Prime factorization of 26863 in exponential form is:

26863 = 268631

Now multiplying the highest exponent prime factors to calculate the LCM of 26852 and 26863.

LCM(26852,26863) = 22 × 72 × 1371 × 268631
LCM(26852,26863) = 721325276