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What is the Least Common Multiple of 29974 and 29989?

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 29974 and 29989 is 898890286.

LCM(29974,29989) = 898890286

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Least Common Multiple of 29974 and 29989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29974 and 29989, than apply into the LCM equation.

GCF(29974,29989) = 1
LCM(29974,29989) = ( 29974 × 29989) / 1
LCM(29974,29989) = 898890286 / 1
LCM(29974,29989) = 898890286

Least Common Multiple (LCM) of 29974 and 29989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29974 and 29989. First we will calculate the prime factors of 29974 and 29989.

Prime Factorization of 29974

Prime factors of 29974 are 2, 7, 2141. Prime factorization of 29974 in exponential form is:

29974 = 21 × 71 × 21411

Prime Factorization of 29989

Prime factors of 29989 are 29989. Prime factorization of 29989 in exponential form is:

29989 = 299891

Now multiplying the highest exponent prime factors to calculate the LCM of 29974 and 29989.

LCM(29974,29989) = 21 × 71 × 21411 × 299891
LCM(29974,29989) = 898890286