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What is the Least Common Multiple of 29933 and 29949?

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 29933 and 29949 is 896463417.

LCM(29933,29949) = 896463417

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Least Common Multiple of 29933 and 29949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29933 and 29949, than apply into the LCM equation.

GCF(29933,29949) = 1
LCM(29933,29949) = ( 29933 × 29949) / 1
LCM(29933,29949) = 896463417 / 1
LCM(29933,29949) = 896463417

Least Common Multiple (LCM) of 29933 and 29949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29933 and 29949. First we will calculate the prime factors of 29933 and 29949.

Prime Factorization of 29933

Prime factors of 29933 are 37, 809. Prime factorization of 29933 in exponential form is:

29933 = 371 × 8091

Prime Factorization of 29949

Prime factors of 29949 are 3, 67, 149. Prime factorization of 29949 in exponential form is:

29949 = 31 × 671 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 29933 and 29949.

LCM(29933,29949) = 371 × 8091 × 31 × 671 × 1491
LCM(29933,29949) = 896463417