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What is the Least Common Multiple of 29944 and 29962?

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 29962 is 448591064.

LCM(29944,29962) = 448591064

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Least Common Multiple of 29944 and 29962 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 29962, than apply into the LCM equation.

GCF(29944,29962) = 2
LCM(29944,29962) = ( 29944 × 29962) / 2
LCM(29944,29962) = 897182128 / 2
LCM(29944,29962) = 448591064

Least Common Multiple (LCM) of 29944 and 29962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29944 and 29962. First we will calculate the prime factors of 29944 and 29962.

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 29962

Prime factors of 29962 are 2, 71, 211. Prime factorization of 29962 in exponential form is:

29962 = 21 × 711 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 29944 and 29962.

LCM(29944,29962) = 23 × 191 × 1971 × 711 × 2111
LCM(29944,29962) = 448591064