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What is the Least Common Multiple of 29980 and 29986?

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 29980 and 29986 is 449490140.

LCM(29980,29986) = 449490140

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Least Common Multiple of 29980 and 29986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29980 and 29986, than apply into the LCM equation.

GCF(29980,29986) = 2
LCM(29980,29986) = ( 29980 × 29986) / 2
LCM(29980,29986) = 898980280 / 2
LCM(29980,29986) = 449490140

Least Common Multiple (LCM) of 29980 and 29986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29980 and 29986. First we will calculate the prime factors of 29980 and 29986.

Prime Factorization of 29980

Prime factors of 29980 are 2, 5, 1499. Prime factorization of 29980 in exponential form is:

29980 = 22 × 51 × 14991

Prime Factorization of 29986

Prime factors of 29986 are 2, 11, 29, 47. Prime factorization of 29986 in exponential form is:

29986 = 21 × 111 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 29980 and 29986.

LCM(29980,29986) = 22 × 51 × 14991 × 111 × 291 × 471
LCM(29980,29986) = 449490140