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What is the Least Common Multiple of 29974 and 29985?

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 29985 is 898770390.

LCM(29974,29985) = 898770390

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Least Common Multiple of 29974 and 29985 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 29985, than apply into the LCM equation.

GCF(29974,29985) = 1
LCM(29974,29985) = ( 29974 × 29985) / 1
LCM(29974,29985) = 898770390 / 1
LCM(29974,29985) = 898770390

Least Common Multiple (LCM) of 29974 and 29985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29974 and 29985. First we will calculate the prime factors of 29974 and 29985.

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 29985

Prime factors of 29985 are 3, 5, 1999. Prime factorization of 29985 in exponential form is:

29985 = 31 × 51 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 29974 and 29985.

LCM(29974,29985) = 21 × 71 × 21411 × 31 × 51 × 19991
LCM(29974,29985) = 898770390