What is the Least Common Multiple of 55705 and 55720?

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 55705 and 55720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55705 and 55720, than apply into the LCM equation.

GCF(55705,55720) = 5
LCM(55705,55720) = ( 55705 × 55720) / 5
LCM(55705,55720) = 3103882600 / 5
LCM(55705,55720) = 620776520

Least Common Multiple (LCM) of 55705 and 55720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55705 and 55720. First we will calculate the prime factors of 55705 and 55720.

Prime Factorization of 55705

Prime Factorization of 55720

Now multiplying the highest exponent prime factors to calculate the LCM of 55705 and 55720.

LCM(55705,55720) = 5¹ × 13¹ × 857¹ × 2³ × 7¹ × 199¹
LCM(55705,55720) = 620776520