What is the Least Common Multiple of 55705 and 55723?

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 55723 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 55723, than apply into the LCM equation.

GCF(55705,55723) = 1
LCM(55705,55723) = ( 55705 × 55723) / 1
LCM(55705,55723) = 3104049715 / 1
LCM(55705,55723) = 3104049715

Least Common Multiple (LCM) of 55705 and 55723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55705 and 55723. First we will calculate the prime factors of 55705 and 55723.

Prime Factorization of 55705

Prime Factorization of 55723

Now multiplying the highest exponent prime factors to calculate the LCM of 55705 and 55723.

LCM(55705,55723) = 5¹ × 13¹ × 857¹ × 103¹ × 541¹
LCM(55705,55723) = 3104049715