What is the Least Common Multiple of 55556 and 55568?

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 55556 and 55568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55556 and 55568, than apply into the LCM equation.

GCF(55556,55568) = 4
LCM(55556,55568) = ( 55556 × 55568) / 4
LCM(55556,55568) = 3087135808 / 4
LCM(55556,55568) = 771783952

Least Common Multiple (LCM) of 55556 and 55568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55556 and 55568. First we will calculate the prime factors of 55556 and 55568.

Prime Factorization of 55556

Prime Factorization of 55568

Now multiplying the highest exponent prime factors to calculate the LCM of 55556 and 55568.

LCM(55556,55568) = 2⁴ × 17¹ × 19¹ × 43¹ × 23¹ × 151¹
LCM(55556,55568) = 771783952