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What is the Least Common Multiple of 11932 and 11946?

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 11932 and 11946 is 71269836.

LCM(11932,11946) = 71269836

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Least Common Multiple of 11932 and 11946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11932 and 11946, than apply into the LCM equation.

GCF(11932,11946) = 2
LCM(11932,11946) = ( 11932 × 11946) / 2
LCM(11932,11946) = 142539672 / 2
LCM(11932,11946) = 71269836

Least Common Multiple (LCM) of 11932 and 11946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11932 and 11946. First we will calculate the prime factors of 11932 and 11946.

Prime Factorization of 11932

Prime factors of 11932 are 2, 19, 157. Prime factorization of 11932 in exponential form is:

11932 = 22 × 191 × 1571

Prime Factorization of 11946

Prime factors of 11946 are 2, 3, 11, 181. Prime factorization of 11946 in exponential form is:

11946 = 21 × 31 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 11932 and 11946.

LCM(11932,11946) = 22 × 191 × 1571 × 31 × 111 × 1811
LCM(11932,11946) = 71269836