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What is the Least Common Multiple of 26312 and 26332?

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 26332 is 173211896.

LCM(26312,26332) = 173211896

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Least Common Multiple of 26312 and 26332 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 26332, than apply into the LCM equation.

GCF(26312,26332) = 4
LCM(26312,26332) = ( 26312 × 26332) / 4
LCM(26312,26332) = 692847584 / 4
LCM(26312,26332) = 173211896

Least Common Multiple (LCM) of 26312 and 26332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26312 and 26332. First we will calculate the prime factors of 26312 and 26332.

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 26332

Prime factors of 26332 are 2, 29, 227. Prime factorization of 26332 in exponential form is:

26332 = 22 × 291 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 26312 and 26332.

LCM(26312,26332) = 23 × 111 × 131 × 231 × 291 × 2271
LCM(26312,26332) = 173211896