GCF and LCM Calculator Logo

What is the Least Common Multiple of 55760 and 55767?

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 55760 and 55767 is 3109567920.

LCM(55760,55767) = 3109567920

LCM Calculator and
and

Least Common Multiple of 55760 and 55767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55760 and 55767, than apply into the LCM equation.

GCF(55760,55767) = 1
LCM(55760,55767) = ( 55760 × 55767) / 1
LCM(55760,55767) = 3109567920 / 1
LCM(55760,55767) = 3109567920

Least Common Multiple (LCM) of 55760 and 55767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55760 and 55767. First we will calculate the prime factors of 55760 and 55767.

Prime Factorization of 55760

Prime factors of 55760 are 2, 5, 17, 41. Prime factorization of 55760 in exponential form is:

55760 = 24 × 51 × 171 × 411

Prime Factorization of 55767

Prime factors of 55767 are 3, 29, 641. Prime factorization of 55767 in exponential form is:

55767 = 31 × 291 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 55760 and 55767.

LCM(55760,55767) = 24 × 51 × 171 × 411 × 31 × 291 × 6411
LCM(55760,55767) = 3109567920