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What is the Least Common Multiple of 26280 and 26296?

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 26280 and 26296 is 86382360.

LCM(26280,26296) = 86382360

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Least Common Multiple of 26280 and 26296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26280 and 26296, than apply into the LCM equation.

GCF(26280,26296) = 8
LCM(26280,26296) = ( 26280 × 26296) / 8
LCM(26280,26296) = 691058880 / 8
LCM(26280,26296) = 86382360

Least Common Multiple (LCM) of 26280 and 26296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26280 and 26296. First we will calculate the prime factors of 26280 and 26296.

Prime Factorization of 26280

Prime factors of 26280 are 2, 3, 5, 73. Prime factorization of 26280 in exponential form is:

26280 = 23 × 32 × 51 × 731

Prime Factorization of 26296

Prime factors of 26296 are 2, 19, 173. Prime factorization of 26296 in exponential form is:

26296 = 23 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26280 and 26296.

LCM(26280,26296) = 23 × 32 × 51 × 731 × 191 × 1731
LCM(26280,26296) = 86382360