GCF and LCM Calculator Logo

What is the Least Common Multiple of 55566 and 55583?

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 55566 and 55583 is 3088524978.

LCM(55566,55583) = 3088524978

LCM Calculator and
and

Least Common Multiple of 55566 and 55583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55566 and 55583, than apply into the LCM equation.

GCF(55566,55583) = 1
LCM(55566,55583) = ( 55566 × 55583) / 1
LCM(55566,55583) = 3088524978 / 1
LCM(55566,55583) = 3088524978

Least Common Multiple (LCM) of 55566 and 55583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55566 and 55583. First we will calculate the prime factors of 55566 and 55583.

Prime Factorization of 55566

Prime factors of 55566 are 2, 3, 7. Prime factorization of 55566 in exponential form is:

55566 = 21 × 34 × 73

Prime Factorization of 55583

Prime factors of 55583 are 11, 31, 163. Prime factorization of 55583 in exponential form is:

55583 = 111 × 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 55566 and 55583.

LCM(55566,55583) = 21 × 34 × 73 × 111 × 311 × 1631
LCM(55566,55583) = 3088524978