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What is the Least Common Multiple of 26312 and 26316?

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 26312 and 26316 is 173106648.

LCM(26312,26316) = 173106648

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Least Common Multiple of 26312 and 26316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26312 and 26316, than apply into the LCM equation.

GCF(26312,26316) = 4
LCM(26312,26316) = ( 26312 × 26316) / 4
LCM(26312,26316) = 692426592 / 4
LCM(26312,26316) = 173106648

Least Common Multiple (LCM) of 26312 and 26316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26312 and 26316. First we will calculate the prime factors of 26312 and 26316.

Prime Factorization of 26312

Prime factors of 26312 are 2, 11, 13, 23. Prime factorization of 26312 in exponential form is:

26312 = 23 × 111 × 131 × 231

Prime Factorization of 26316

Prime factors of 26316 are 2, 3, 17, 43. Prime factorization of 26316 in exponential form is:

26316 = 22 × 32 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 26312 and 26316.

LCM(26312,26316) = 23 × 111 × 131 × 231 × 32 × 171 × 431
LCM(26312,26316) = 173106648