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What is the Least Common Multiple of 26054 and 26058?

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 26054 and 26058 is 339457566.

LCM(26054,26058) = 339457566

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Least Common Multiple of 26054 and 26058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26054 and 26058, than apply into the LCM equation.

GCF(26054,26058) = 2
LCM(26054,26058) = ( 26054 × 26058) / 2
LCM(26054,26058) = 678915132 / 2
LCM(26054,26058) = 339457566

Least Common Multiple (LCM) of 26054 and 26058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26054 and 26058. First we will calculate the prime factors of 26054 and 26058.

Prime Factorization of 26054

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

26054 = 21 × 71 × 18611

Prime Factorization of 26058

Prime factors of 26058 are 2, 3, 43, 101. Prime factorization of 26058 in exponential form is:

26058 = 21 × 31 × 431 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 26054 and 26058.

LCM(26054,26058) = 21 × 71 × 18611 × 31 × 431 × 1011
LCM(26054,26058) = 339457566