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What is the Least Common Multiple of 11922 and 11932?

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 11922 and 11932 is 71126652.

LCM(11922,11932) = 71126652

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Least Common Multiple of 11922 and 11932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11922 and 11932, than apply into the LCM equation.

GCF(11922,11932) = 2
LCM(11922,11932) = ( 11922 × 11932) / 2
LCM(11922,11932) = 142253304 / 2
LCM(11922,11932) = 71126652

Least Common Multiple (LCM) of 11922 and 11932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11922 and 11932. First we will calculate the prime factors of 11922 and 11932.

Prime Factorization of 11922

Prime factors of 11922 are 2, 3, 1987. Prime factorization of 11922 in exponential form is:

11922 = 21 × 31 × 19871

Prime Factorization of 11932

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

11932 = 22 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 11922 and 11932.

LCM(11922,11932) = 22 × 31 × 19871 × 191 × 1571
LCM(11922,11932) = 71126652