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What is the Least Common Multiple of 26355 and 26364?

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 26355 and 26364 is 231607740.

LCM(26355,26364) = 231607740

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Least Common Multiple of 26355 and 26364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26355 and 26364, than apply into the LCM equation.

GCF(26355,26364) = 3
LCM(26355,26364) = ( 26355 × 26364) / 3
LCM(26355,26364) = 694823220 / 3
LCM(26355,26364) = 231607740

Least Common Multiple (LCM) of 26355 and 26364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26355 and 26364. First we will calculate the prime factors of 26355 and 26364.

Prime Factorization of 26355

Prime factors of 26355 are 3, 5, 7, 251. Prime factorization of 26355 in exponential form is:

26355 = 31 × 51 × 71 × 2511

Prime Factorization of 26364

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

26364 = 22 × 31 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 26355 and 26364.

LCM(26355,26364) = 31 × 51 × 71 × 2511 × 22 × 133
LCM(26355,26364) = 231607740