What is the Least Common Multiple of 55760 and 55780?

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 55780 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 55780, than apply into the LCM equation.

GCF(55760,55780) = 20
LCM(55760,55780) = ( 55760 × 55780) / 20
LCM(55760,55780) = 3110292800 / 20
LCM(55760,55780) = 155514640

Least Common Multiple (LCM) of 55760 and 55780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55760 and 55780. First we will calculate the prime factors of 55760 and 55780.

Prime Factorization of 55760

Prime Factorization of 55780

Now multiplying the highest exponent prime factors to calculate the LCM of 55760 and 55780.

LCM(55760,55780) = 2⁴ × 5¹ × 17¹ × 41¹ × 2789¹
LCM(55760,55780) = 155514640