What is the Least Common Multiple of 55340 and 55344?

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 55340 and 55344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55340 and 55344, than apply into the LCM equation.

GCF(55340,55344) = 4
LCM(55340,55344) = ( 55340 × 55344) / 4
LCM(55340,55344) = 3062736960 / 4
LCM(55340,55344) = 765684240

Least Common Multiple (LCM) of 55340 and 55344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55340 and 55344. First we will calculate the prime factors of 55340 and 55344.

Prime Factorization of 55340

Prime Factorization of 55344

Now multiplying the highest exponent prime factors to calculate the LCM of 55340 and 55344.

LCM(55340,55344) = 2⁴ × 5¹ × 2767¹ × 3¹ × 1153¹
LCM(55340,55344) = 765684240