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What is the Least Common Multiple of 55981 and 55990?

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 55981 and 55990 is 3134376190.

LCM(55981,55990) = 3134376190

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Least Common Multiple of 55981 and 55990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55981 and 55990, than apply into the LCM equation.

GCF(55981,55990) = 1
LCM(55981,55990) = ( 55981 × 55990) / 1
LCM(55981,55990) = 3134376190 / 1
LCM(55981,55990) = 3134376190

Least Common Multiple (LCM) of 55981 and 55990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55981 and 55990. First we will calculate the prime factors of 55981 and 55990.

Prime Factorization of 55981

Prime factors of 55981 are 17, 37, 89. Prime factorization of 55981 in exponential form is:

55981 = 171 × 371 × 891

Prime Factorization of 55990

Prime factors of 55990 are 2, 5, 11, 509. Prime factorization of 55990 in exponential form is:

55990 = 21 × 51 × 111 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 55981 and 55990.

LCM(55981,55990) = 171 × 371 × 891 × 21 × 51 × 111 × 5091
LCM(55981,55990) = 3134376190