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What is the Least Common Multiple of 11930 and 11938?

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 11930 and 11938 is 71210170.

LCM(11930,11938) = 71210170

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Least Common Multiple of 11930 and 11938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11930 and 11938, than apply into the LCM equation.

GCF(11930,11938) = 2
LCM(11930,11938) = ( 11930 × 11938) / 2
LCM(11930,11938) = 142420340 / 2
LCM(11930,11938) = 71210170

Least Common Multiple (LCM) of 11930 and 11938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11930 and 11938. First we will calculate the prime factors of 11930 and 11938.

Prime Factorization of 11930

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

11930 = 21 × 51 × 11931

Prime Factorization of 11938

Prime factors of 11938 are 2, 47, 127. Prime factorization of 11938 in exponential form is:

11938 = 21 × 471 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 11930 and 11938.

LCM(11930,11938) = 21 × 51 × 11931 × 471 × 1271
LCM(11930,11938) = 71210170