What is the Least Common Multiple of 55340 and 55358?

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 55358 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 55358, than apply into the LCM equation.

GCF(55340,55358) = 2
LCM(55340,55358) = ( 55340 × 55358) / 2
LCM(55340,55358) = 3063511720 / 2
LCM(55340,55358) = 1531755860

Least Common Multiple (LCM) of 55340 and 55358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55340 and 55358. First we will calculate the prime factors of 55340 and 55358.

Prime Factorization of 55340

Prime Factorization of 55358

Now multiplying the highest exponent prime factors to calculate the LCM of 55340 and 55358.

LCM(55340,55358) = 2² × 5¹ × 2767¹ × 89¹ × 311¹
LCM(55340,55358) = 1531755860