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What is the Least Common Multiple of 55982 and 55988?

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 55982 and 55988 is 1567160108.

LCM(55982,55988) = 1567160108

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Least Common Multiple of 55982 and 55988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55982 and 55988, than apply into the LCM equation.

GCF(55982,55988) = 2
LCM(55982,55988) = ( 55982 × 55988) / 2
LCM(55982,55988) = 3134320216 / 2
LCM(55982,55988) = 1567160108

Least Common Multiple (LCM) of 55982 and 55988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55982 and 55988. First we will calculate the prime factors of 55982 and 55988.

Prime Factorization of 55982

Prime factors of 55982 are 2, 23, 1217. Prime factorization of 55982 in exponential form is:

55982 = 21 × 231 × 12171

Prime Factorization of 55988

Prime factors of 55988 are 2, 13997. Prime factorization of 55988 in exponential form is:

55988 = 22 × 139971

Now multiplying the highest exponent prime factors to calculate the LCM of 55982 and 55988.

LCM(55982,55988) = 22 × 231 × 12171 × 139971
LCM(55982,55988) = 1567160108