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What is the Least Common Multiple of 29816 and 29832?

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 29816 and 29832 is 111183864.

LCM(29816,29832) = 111183864

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Least Common Multiple of 29816 and 29832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29816 and 29832, than apply into the LCM equation.

GCF(29816,29832) = 8
LCM(29816,29832) = ( 29816 × 29832) / 8
LCM(29816,29832) = 889470912 / 8
LCM(29816,29832) = 111183864

Least Common Multiple (LCM) of 29816 and 29832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29816 and 29832. First we will calculate the prime factors of 29816 and 29832.

Prime Factorization of 29816

Prime factors of 29816 are 2, 3727. Prime factorization of 29816 in exponential form is:

29816 = 23 × 37271

Prime Factorization of 29832

Prime factors of 29832 are 2, 3, 11, 113. Prime factorization of 29832 in exponential form is:

29832 = 23 × 31 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 29816 and 29832.

LCM(29816,29832) = 23 × 37271 × 31 × 111 × 1131
LCM(29816,29832) = 111183864