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What is the Least Common Multiple of 29944 and 29963?

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 29944 and 29963 is 47221688.

LCM(29944,29963) = 47221688

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Least Common Multiple of 29944 and 29963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29944 and 29963, than apply into the LCM equation.

GCF(29944,29963) = 19
LCM(29944,29963) = ( 29944 × 29963) / 19
LCM(29944,29963) = 897212072 / 19
LCM(29944,29963) = 47221688

Least Common Multiple (LCM) of 29944 and 29963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29944 and 29963. First we will calculate the prime factors of 29944 and 29963.

Prime Factorization of 29944

Prime factors of 29944 are 2, 19, 197. Prime factorization of 29944 in exponential form is:

29944 = 23 × 191 × 1971

Prime Factorization of 29963

Prime factors of 29963 are 19, 83. Prime factorization of 29963 in exponential form is:

29963 = 192 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 29944 and 29963.

LCM(29944,29963) = 23 × 192 × 1971 × 831
LCM(29944,29963) = 47221688