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What is the Least Common Multiple of 29986 and 30002?

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 29986 and 30002 is 449819986.

LCM(29986,30002) = 449819986

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Least Common Multiple of 29986 and 30002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29986 and 30002, than apply into the LCM equation.

GCF(29986,30002) = 2
LCM(29986,30002) = ( 29986 × 30002) / 2
LCM(29986,30002) = 899639972 / 2
LCM(29986,30002) = 449819986

Least Common Multiple (LCM) of 29986 and 30002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29986 and 30002. First we will calculate the prime factors of 29986 and 30002.

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

Prime Factorization of 30002

Prime factors of 30002 are 2, 7, 2143. Prime factorization of 30002 in exponential form is:

30002 = 21 × 71 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 29986 and 30002.

LCM(29986,30002) = 21 × 111 × 291 × 471 × 71 × 21431
LCM(29986,30002) = 449819986