GCF and LCM Calculator Logo

What is the Least Common Multiple of 55828 and 55840?

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 55828 and 55840 is 779358880.

LCM(55828,55840) = 779358880

LCM Calculator and
and

Least Common Multiple of 55828 and 55840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55828 and 55840, than apply into the LCM equation.

GCF(55828,55840) = 4
LCM(55828,55840) = ( 55828 × 55840) / 4
LCM(55828,55840) = 3117435520 / 4
LCM(55828,55840) = 779358880

Least Common Multiple (LCM) of 55828 and 55840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55828 and 55840. First we will calculate the prime factors of 55828 and 55840.

Prime Factorization of 55828

Prime factors of 55828 are 2, 17, 821. Prime factorization of 55828 in exponential form is:

55828 = 22 × 171 × 8211

Prime Factorization of 55840

Prime factors of 55840 are 2, 5, 349. Prime factorization of 55840 in exponential form is:

55840 = 25 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 55828 and 55840.

LCM(55828,55840) = 25 × 171 × 8211 × 51 × 3491
LCM(55828,55840) = 779358880