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What is the Least Common Multiple of 13926 and 13946?

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 13926 and 13946 is 97105998.

LCM(13926,13946) = 97105998

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Least Common Multiple of 13926 and 13946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13926 and 13946, than apply into the LCM equation.

GCF(13926,13946) = 2
LCM(13926,13946) = ( 13926 × 13946) / 2
LCM(13926,13946) = 194211996 / 2
LCM(13926,13946) = 97105998

Least Common Multiple (LCM) of 13926 and 13946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13926 and 13946. First we will calculate the prime factors of 13926 and 13946.

Prime Factorization of 13926

Prime factors of 13926 are 2, 3, 11, 211. Prime factorization of 13926 in exponential form is:

13926 = 21 × 31 × 111 × 2111

Prime Factorization of 13946

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

13946 = 21 × 191 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 13926 and 13946.

LCM(13926,13946) = 21 × 31 × 111 × 2111 × 191 × 3671
LCM(13926,13946) = 97105998