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What is the Least Common Multiple of 26048 and 26054?

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 26048 and 26054 is 339327296.

LCM(26048,26054) = 339327296

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Least Common Multiple of 26048 and 26054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26048 and 26054, than apply into the LCM equation.

GCF(26048,26054) = 2
LCM(26048,26054) = ( 26048 × 26054) / 2
LCM(26048,26054) = 678654592 / 2
LCM(26048,26054) = 339327296

Least Common Multiple (LCM) of 26048 and 26054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26048 and 26054. First we will calculate the prime factors of 26048 and 26054.

Prime Factorization of 26048

Prime factors of 26048 are 2, 11, 37. Prime factorization of 26048 in exponential form is:

26048 = 26 × 111 × 371

Prime Factorization of 26054

Prime factors of 26054 are 2, 7, 1861. Prime factorization of 26054 in exponential form is:

26054 = 21 × 71 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 26048 and 26054.

LCM(26048,26054) = 26 × 111 × 371 × 71 × 18611
LCM(26048,26054) = 339327296