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What is the Least Common Multiple of 26364 and 26379?

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 26364 and 26379 is 231818652.

LCM(26364,26379) = 231818652

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Least Common Multiple of 26364 and 26379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26364 and 26379, than apply into the LCM equation.

GCF(26364,26379) = 3
LCM(26364,26379) = ( 26364 × 26379) / 3
LCM(26364,26379) = 695455956 / 3
LCM(26364,26379) = 231818652

Least Common Multiple (LCM) of 26364 and 26379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26364 and 26379. First we will calculate the prime factors of 26364 and 26379.

Prime Factorization of 26364

Prime factors of 26364 are 2, 3, 13. Prime factorization of 26364 in exponential form is:

26364 = 22 × 31 × 133

Prime Factorization of 26379

Prime factors of 26379 are 3, 977. Prime factorization of 26379 in exponential form is:

26379 = 33 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 26364 and 26379.

LCM(26364,26379) = 22 × 33 × 133 × 9771
LCM(26364,26379) = 231818652