What is the Least Common Multiple of 22701 and 22713?

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 22701 and 22713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22701 and 22713, than apply into the LCM equation.

GCF(22701,22713) = 3
LCM(22701,22713) = ( 22701 × 22713) / 3
LCM(22701,22713) = 515607813 / 3
LCM(22701,22713) = 171869271

Least Common Multiple (LCM) of 22701 and 22713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22701 and 22713. First we will calculate the prime factors of 22701 and 22713.

Prime Factorization of 22701

Prime Factorization of 22713

Now multiplying the highest exponent prime factors to calculate the LCM of 22701 and 22713.

LCM(22701,22713) = 3¹ × 7¹ × 23¹ × 47¹ × 67¹ × 113¹
LCM(22701,22713) = 171869271