What is the Least Common Multiple of 22714 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 22714 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 22714 and 22734, than apply into the LCM equation.

GCF(22714,22734) = 2
LCM(22714,22734) = ( 22714 × 22734) / 2
LCM(22714,22734) = 516380076 / 2
LCM(22714,22734) = 258190038

Least Common Multiple (LCM) of 22714 and 22734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22714 and 22734. First we will calculate the prime factors of 22714 and 22734.

Prime Factorization of 22714

Prime Factorization of 22734

Now multiplying the highest exponent prime factors to calculate the LCM of 22714 and 22734.

LCM(22714,22734) = 2¹ × 41¹ × 277¹ × 3³ × 421¹
LCM(22714,22734) = 258190038