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What is the Least Common Multiple of 29716 and 29721?

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 29716 and 29721 is 883189236.

LCM(29716,29721) = 883189236

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Least Common Multiple of 29716 and 29721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29716 and 29721, than apply into the LCM equation.

GCF(29716,29721) = 1
LCM(29716,29721) = ( 29716 × 29721) / 1
LCM(29716,29721) = 883189236 / 1
LCM(29716,29721) = 883189236

Least Common Multiple (LCM) of 29716 and 29721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29716 and 29721. First we will calculate the prime factors of 29716 and 29721.

Prime Factorization of 29716

Prime factors of 29716 are 2, 17, 19, 23. Prime factorization of 29716 in exponential form is:

29716 = 22 × 171 × 191 × 231

Prime Factorization of 29721

Prime factors of 29721 are 3, 9907. Prime factorization of 29721 in exponential form is:

29721 = 31 × 99071

Now multiplying the highest exponent prime factors to calculate the LCM of 29716 and 29721.

LCM(29716,29721) = 22 × 171 × 191 × 231 × 31 × 99071
LCM(29716,29721) = 883189236