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What is the Least Common Multiple of 26343 and 26352?

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 26343 and 26352 is 77132304.

LCM(26343,26352) = 77132304

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Least Common Multiple of 26343 and 26352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26343 and 26352, than apply into the LCM equation.

GCF(26343,26352) = 9
LCM(26343,26352) = ( 26343 × 26352) / 9
LCM(26343,26352) = 694190736 / 9
LCM(26343,26352) = 77132304

Least Common Multiple (LCM) of 26343 and 26352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26343 and 26352. First we will calculate the prime factors of 26343 and 26352.

Prime Factorization of 26343

Prime factors of 26343 are 3, 2927. Prime factorization of 26343 in exponential form is:

26343 = 32 × 29271

Prime Factorization of 26352

Prime factors of 26352 are 2, 3, 61. Prime factorization of 26352 in exponential form is:

26352 = 24 × 33 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 26343 and 26352.

LCM(26343,26352) = 33 × 29271 × 24 × 611
LCM(26343,26352) = 77132304