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What is the Least Common Multiple of 11912 and 11930?

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 11912 and 11930 is 71055080.

LCM(11912,11930) = 71055080

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Least Common Multiple of 11912 and 11930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11912 and 11930, than apply into the LCM equation.

GCF(11912,11930) = 2
LCM(11912,11930) = ( 11912 × 11930) / 2
LCM(11912,11930) = 142110160 / 2
LCM(11912,11930) = 71055080

Least Common Multiple (LCM) of 11912 and 11930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11912 and 11930. First we will calculate the prime factors of 11912 and 11930.

Prime Factorization of 11912

Prime factors of 11912 are 2, 1489. Prime factorization of 11912 in exponential form is:

11912 = 23 × 14891

Prime Factorization of 11930

Prime factors of 11930 are 2, 5, 1193. Prime factorization of 11930 in exponential form is:

11930 = 21 × 51 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 11912 and 11930.

LCM(11912,11930) = 23 × 14891 × 51 × 11931
LCM(11912,11930) = 71055080