GCF and LCM Calculator Logo

What is the Least Common Multiple of 55982 and 55997?

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 55997 is 3134824054.

LCM(55982,55997) = 3134824054

LCM Calculator and
and

Least Common Multiple of 55982 and 55997 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 55997, than apply into the LCM equation.

GCF(55982,55997) = 1
LCM(55982,55997) = ( 55982 × 55997) / 1
LCM(55982,55997) = 3134824054 / 1
LCM(55982,55997) = 3134824054

Least Common Multiple (LCM) of 55982 and 55997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55982 and 55997. First we will calculate the prime factors of 55982 and 55997.

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 55997

Prime factors of 55997 are 55997. Prime factorization of 55997 in exponential form is:

55997 = 559971

Now multiplying the highest exponent prime factors to calculate the LCM of 55982 and 55997.

LCM(55982,55997) = 21 × 231 × 12171 × 559971
LCM(55982,55997) = 3134824054