What is the Least Common Multiple of 45705 and 45717?

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 45705 and 45717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45705 and 45717, than apply into the LCM equation.

GCF(45705,45717) = 3
LCM(45705,45717) = ( 45705 × 45717) / 3
LCM(45705,45717) = 2089495485 / 3
LCM(45705,45717) = 696498495

Least Common Multiple (LCM) of 45705 and 45717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45705 and 45717. First we will calculate the prime factors of 45705 and 45717.

Prime Factorization of 45705

Prime Factorization of 45717

Now multiplying the highest exponent prime factors to calculate the LCM of 45705 and 45717.

LCM(45705,45717) = 3¹ × 5¹ × 11¹ × 277¹ × 7² × 311¹
LCM(45705,45717) = 696498495