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What is the Least Common Multiple of 26945 and 26952?

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 26945 and 26952 is 726221640.

LCM(26945,26952) = 726221640

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Least Common Multiple of 26945 and 26952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26945 and 26952, than apply into the LCM equation.

GCF(26945,26952) = 1
LCM(26945,26952) = ( 26945 × 26952) / 1
LCM(26945,26952) = 726221640 / 1
LCM(26945,26952) = 726221640

Least Common Multiple (LCM) of 26945 and 26952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26945 and 26952. First we will calculate the prime factors of 26945 and 26952.

Prime Factorization of 26945

Prime factors of 26945 are 5, 17, 317. Prime factorization of 26945 in exponential form is:

26945 = 51 × 171 × 3171

Prime Factorization of 26952

Prime factors of 26952 are 2, 3, 1123. Prime factorization of 26952 in exponential form is:

26952 = 23 × 31 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 26945 and 26952.

LCM(26945,26952) = 51 × 171 × 3171 × 23 × 31 × 11231
LCM(26945,26952) = 726221640