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What is the Least Common Multiple of 29890 and 29898?

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 29890 and 29898 is 446825610.

LCM(29890,29898) = 446825610

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Least Common Multiple of 29890 and 29898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29890 and 29898, than apply into the LCM equation.

GCF(29890,29898) = 2
LCM(29890,29898) = ( 29890 × 29898) / 2
LCM(29890,29898) = 893651220 / 2
LCM(29890,29898) = 446825610

Least Common Multiple (LCM) of 29890 and 29898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29890 and 29898. First we will calculate the prime factors of 29890 and 29898.

Prime Factorization of 29890

Prime factors of 29890 are 2, 5, 7, 61. Prime factorization of 29890 in exponential form is:

29890 = 21 × 51 × 72 × 611

Prime Factorization of 29898

Prime factors of 29898 are 2, 3, 11, 151. Prime factorization of 29898 in exponential form is:

29898 = 21 × 32 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 29890 and 29898.

LCM(29890,29898) = 21 × 51 × 72 × 611 × 32 × 111 × 1511
LCM(29890,29898) = 446825610