GCF and LCM Calculator Logo

What is the Least Common Multiple of 55758 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 55758 and 55767 is 1036485462.

LCM(55758,55767) = 1036485462

LCM Calculator and
and

Least Common Multiple of 55758 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 55758 and 55767, than apply into the LCM equation.

GCF(55758,55767) = 3
LCM(55758,55767) = ( 55758 × 55767) / 3
LCM(55758,55767) = 3109456386 / 3
LCM(55758,55767) = 1036485462

Least Common Multiple (LCM) of 55758 and 55767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55758 and 55767. First we will calculate the prime factors of 55758 and 55767.

Prime Factorization of 55758

Prime factors of 55758 are 2, 3, 9293. Prime factorization of 55758 in exponential form is:

55758 = 21 × 31 × 92931

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 55758 and 55767.

LCM(55758,55767) = 21 × 31 × 92931 × 291 × 6411
LCM(55758,55767) = 1036485462