What is the Least Common Multiple of 55769 and 55776?

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 of 55769 and 55776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55769 and 55776, than apply into the LCM equation.

GCF(55769,55776) = 7
LCM(55769,55776) = ( 55769 × 55776) / 7
LCM(55769,55776) = 3110571744 / 7
LCM(55769,55776) = 444367392

Least Common Multiple (LCM) of 55769 and 55776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55769 and 55776. First we will calculate the prime factors of 55769 and 55776.

Prime Factorization of 55769

Prime Factorization of 55776

Now multiplying the highest exponent prime factors to calculate the LCM of 55769 and 55776.

LCM(55769,55776) = 7¹ × 31¹ × 257¹ × 2⁵ × 3¹ × 83¹
LCM(55769,55776) = 444367392