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What is the Least Common Multiple of 29980 and 29998?

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 29998 is 449670020.

LCM(29980,29998) = 449670020

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Least Common Multiple of 29980 and 29998 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 29998, than apply into the LCM equation.

GCF(29980,29998) = 2
LCM(29980,29998) = ( 29980 × 29998) / 2
LCM(29980,29998) = 899340040 / 2
LCM(29980,29998) = 449670020

Least Common Multiple (LCM) of 29980 and 29998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29980 and 29998. First we will calculate the prime factors of 29980 and 29998.

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 29998

Prime factors of 29998 are 2, 53, 283. Prime factorization of 29998 in exponential form is:

29998 = 21 × 531 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 29980 and 29998.

LCM(29980,29998) = 22 × 51 × 14991 × 531 × 2831
LCM(29980,29998) = 449670020