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What is the Least Common Multiple of 10929 and 10942?

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 10929 and 10942 is 119585118.

LCM(10929,10942) = 119585118

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Least Common Multiple of 10929 and 10942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10929 and 10942, than apply into the LCM equation.

GCF(10929,10942) = 1
LCM(10929,10942) = ( 10929 × 10942) / 1
LCM(10929,10942) = 119585118 / 1
LCM(10929,10942) = 119585118

Least Common Multiple (LCM) of 10929 and 10942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10929 and 10942. First we will calculate the prime factors of 10929 and 10942.

Prime Factorization of 10929

Prime factors of 10929 are 3, 3643. Prime factorization of 10929 in exponential form is:

10929 = 31 × 36431

Prime Factorization of 10942

Prime factors of 10942 are 2, 5471. Prime factorization of 10942 in exponential form is:

10942 = 21 × 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 10929 and 10942.

LCM(10929,10942) = 31 × 36431 × 21 × 54711
LCM(10929,10942) = 119585118