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What is the Least Common Multiple of 29832 and 29847?

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 29832 and 29847 is 296798568.

LCM(29832,29847) = 296798568

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Least Common Multiple of 29832 and 29847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29832 and 29847, than apply into the LCM equation.

GCF(29832,29847) = 3
LCM(29832,29847) = ( 29832 × 29847) / 3
LCM(29832,29847) = 890395704 / 3
LCM(29832,29847) = 296798568

Least Common Multiple (LCM) of 29832 and 29847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29832 and 29847. First we will calculate the prime factors of 29832 and 29847.

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

Prime Factorization of 29847

Prime factors of 29847 are 3, 9949. Prime factorization of 29847 in exponential form is:

29847 = 31 × 99491

Now multiplying the highest exponent prime factors to calculate the LCM of 29832 and 29847.

LCM(29832,29847) = 23 × 31 × 111 × 1131 × 99491
LCM(29832,29847) = 296798568