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What is the Least Common Multiple of 29974 and 29993?

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 29993 is 899010182.

LCM(29974,29993) = 899010182

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Least Common Multiple of 29974 and 29993 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 29993, than apply into the LCM equation.

GCF(29974,29993) = 1
LCM(29974,29993) = ( 29974 × 29993) / 1
LCM(29974,29993) = 899010182 / 1
LCM(29974,29993) = 899010182

Least Common Multiple (LCM) of 29974 and 29993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29974 and 29993. First we will calculate the prime factors of 29974 and 29993.

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 29993

Prime factors of 29993 are 89, 337. Prime factorization of 29993 in exponential form is:

29993 = 891 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 29974 and 29993.

LCM(29974,29993) = 21 × 71 × 21411 × 891 × 3371
LCM(29974,29993) = 899010182