What is the Least Common Multiple of 55760 and 55777?

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 55760 and 55777 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 55777, than apply into the LCM equation.

GCF(55760,55777) = 17
LCM(55760,55777) = ( 55760 × 55777) / 17
LCM(55760,55777) = 3110125520 / 17
LCM(55760,55777) = 182948560

Least Common Multiple (LCM) of 55760 and 55777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55760 and 55777. First we will calculate the prime factors of 55760 and 55777.

Prime Factorization of 55760

Prime Factorization of 55777

Now multiplying the highest exponent prime factors to calculate the LCM of 55760 and 55777.

LCM(55760,55777) = 2⁴ × 5¹ × 17² × 41¹ × 193¹
LCM(55760,55777) = 182948560