What is the Least Common Multiple of 22734 and 22741?

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 22734 and 22741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22734 and 22741, than apply into the LCM equation.

GCF(22734,22741) = 1
LCM(22734,22741) = ( 22734 × 22741) / 1
LCM(22734,22741) = 516993894 / 1
LCM(22734,22741) = 516993894

Least Common Multiple (LCM) of 22734 and 22741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22734 and 22741. First we will calculate the prime factors of 22734 and 22741.

Prime Factorization of 22734

Prime Factorization of 22741

Now multiplying the highest exponent prime factors to calculate the LCM of 22734 and 22741.

LCM(22734,22741) = 2¹ × 3³ × 421¹ × 22741¹
LCM(22734,22741) = 516993894