What is the Least Common Multiple of 22717 and 22734?

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 22717 and 22734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22717 and 22734, than apply into the LCM equation.

GCF(22717,22734) = 1
LCM(22717,22734) = ( 22717 × 22734) / 1
LCM(22717,22734) = 516448278 / 1
LCM(22717,22734) = 516448278

Least Common Multiple (LCM) of 22717 and 22734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22717 and 22734. First we will calculate the prime factors of 22717 and 22734.

Prime Factorization of 22717

Prime Factorization of 22734

Now multiplying the highest exponent prime factors to calculate the LCM of 22717 and 22734.

LCM(22717,22734) = 22717¹ × 2¹ × 3³ × 421¹
LCM(22717,22734) = 516448278