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What is the Least Common Multiple of 26448 and 26462?

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 26448 and 26462 is 349933488.

LCM(26448,26462) = 349933488

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Least Common Multiple of 26448 and 26462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26448 and 26462, than apply into the LCM equation.

GCF(26448,26462) = 2
LCM(26448,26462) = ( 26448 × 26462) / 2
LCM(26448,26462) = 699866976 / 2
LCM(26448,26462) = 349933488

Least Common Multiple (LCM) of 26448 and 26462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26462. First we will calculate the prime factors of 26448 and 26462.

Prime Factorization of 26448

Prime factors of 26448 are 2, 3, 19, 29. Prime factorization of 26448 in exponential form is:

26448 = 24 × 31 × 191 × 291

Prime Factorization of 26462

Prime factors of 26462 are 2, 101, 131. Prime factorization of 26462 in exponential form is:

26462 = 21 × 1011 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26462.

LCM(26448,26462) = 24 × 31 × 191 × 291 × 1011 × 1311
LCM(26448,26462) = 349933488