What is the Least Common Multiple of 22741 and 22747?

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 22741 and 22747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22741 and 22747, than apply into the LCM equation.

GCF(22741,22747) = 1
LCM(22741,22747) = ( 22741 × 22747) / 1
LCM(22741,22747) = 517289527 / 1
LCM(22741,22747) = 517289527

Least Common Multiple (LCM) of 22741 and 22747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22741 and 22747. First we will calculate the prime factors of 22741 and 22747.

Prime Factorization of 22741

Prime Factorization of 22747

Now multiplying the highest exponent prime factors to calculate the LCM of 22741 and 22747.

LCM(22741,22747) = 22741¹ × 23² × 43¹
LCM(22741,22747) = 517289527