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What is the Least Common Multiple of 30981 and 30998?

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 30981 and 30998 is 960349038.

LCM(30981,30998) = 960349038

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Least Common Multiple of 30981 and 30998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30981 and 30998, than apply into the LCM equation.

GCF(30981,30998) = 1
LCM(30981,30998) = ( 30981 × 30998) / 1
LCM(30981,30998) = 960349038 / 1
LCM(30981,30998) = 960349038

Least Common Multiple (LCM) of 30981 and 30998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30981 and 30998. First we will calculate the prime factors of 30981 and 30998.

Prime Factorization of 30981

Prime factors of 30981 are 3, 23, 449. Prime factorization of 30981 in exponential form is:

30981 = 31 × 231 × 4491

Prime Factorization of 30998

Prime factors of 30998 are 2, 11, 1409. Prime factorization of 30998 in exponential form is:

30998 = 21 × 111 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 30981 and 30998.

LCM(30981,30998) = 31 × 231 × 4491 × 21 × 111 × 14091
LCM(30981,30998) = 960349038