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What is the Least Common Multiple of 26056 and 26074?

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 26056 and 26074 is 339692072.

LCM(26056,26074) = 339692072

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Least Common Multiple of 26056 and 26074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26056 and 26074, than apply into the LCM equation.

GCF(26056,26074) = 2
LCM(26056,26074) = ( 26056 × 26074) / 2
LCM(26056,26074) = 679384144 / 2
LCM(26056,26074) = 339692072

Least Common Multiple (LCM) of 26056 and 26074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26056 and 26074. First we will calculate the prime factors of 26056 and 26074.

Prime Factorization of 26056

Prime factors of 26056 are 2, 3257. Prime factorization of 26056 in exponential form is:

26056 = 23 × 32571

Prime Factorization of 26074

Prime factors of 26074 are 2, 13037. Prime factorization of 26074 in exponential form is:

26074 = 21 × 130371

Now multiplying the highest exponent prime factors to calculate the LCM of 26056 and 26074.

LCM(26056,26074) = 23 × 32571 × 130371
LCM(26056,26074) = 339692072