GCF and LCM Calculator Logo

What is the Least Common Multiple of 55972 and 55982?

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 55972 and 55982 is 1566712252.

LCM(55972,55982) = 1566712252

LCM Calculator and
and

Least Common Multiple of 55972 and 55982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55972 and 55982, than apply into the LCM equation.

GCF(55972,55982) = 2
LCM(55972,55982) = ( 55972 × 55982) / 2
LCM(55972,55982) = 3133424504 / 2
LCM(55972,55982) = 1566712252

Least Common Multiple (LCM) of 55972 and 55982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55972 and 55982. First we will calculate the prime factors of 55972 and 55982.

Prime Factorization of 55972

Prime factors of 55972 are 2, 7, 1999. Prime factorization of 55972 in exponential form is:

55972 = 22 × 71 × 19991

Prime Factorization of 55982

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

55982 = 21 × 231 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 55972 and 55982.

LCM(55972,55982) = 22 × 71 × 19991 × 231 × 12171
LCM(55972,55982) = 1566712252