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What is the Least Common Multiple of 13946 and 13952?

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 13946 and 13952 is 97287296.

LCM(13946,13952) = 97287296

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Least Common Multiple of 13946 and 13952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13946 and 13952, than apply into the LCM equation.

GCF(13946,13952) = 2
LCM(13946,13952) = ( 13946 × 13952) / 2
LCM(13946,13952) = 194574592 / 2
LCM(13946,13952) = 97287296

Least Common Multiple (LCM) of 13946 and 13952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13946 and 13952. First we will calculate the prime factors of 13946 and 13952.

Prime Factorization of 13946

Prime factors of 13946 are 2, 19, 367. Prime factorization of 13946 in exponential form is:

13946 = 21 × 191 × 3671

Prime Factorization of 13952

Prime factors of 13952 are 2, 109. Prime factorization of 13952 in exponential form is:

13952 = 27 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 13946 and 13952.

LCM(13946,13952) = 27 × 191 × 3671 × 1091
LCM(13946,13952) = 97287296