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What is the Least Common Multiple of 26346 and 26360?

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 26346 and 26360 is 347240280.

LCM(26346,26360) = 347240280

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Least Common Multiple of 26346 and 26360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26346 and 26360, than apply into the LCM equation.

GCF(26346,26360) = 2
LCM(26346,26360) = ( 26346 × 26360) / 2
LCM(26346,26360) = 694480560 / 2
LCM(26346,26360) = 347240280

Least Common Multiple (LCM) of 26346 and 26360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26346 and 26360. First we will calculate the prime factors of 26346 and 26360.

Prime Factorization of 26346

Prime factors of 26346 are 2, 3, 4391. Prime factorization of 26346 in exponential form is:

26346 = 21 × 31 × 43911

Prime Factorization of 26360

Prime factors of 26360 are 2, 5, 659. Prime factorization of 26360 in exponential form is:

26360 = 23 × 51 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 26346 and 26360.

LCM(26346,26360) = 23 × 31 × 43911 × 51 × 6591
LCM(26346,26360) = 347240280