What is the Least Common Multiple of 22701 and 22710?

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 22710 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 22710, than apply into the LCM equation.

GCF(22701,22710) = 3
LCM(22701,22710) = ( 22701 × 22710) / 3
LCM(22701,22710) = 515539710 / 3
LCM(22701,22710) = 171846570

Least Common Multiple (LCM) of 22701 and 22710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22701 and 22710. First we will calculate the prime factors of 22701 and 22710.

Prime Factorization of 22701

Prime Factorization of 22710

Now multiplying the highest exponent prime factors to calculate the LCM of 22701 and 22710.

LCM(22701,22710) = 3¹ × 7¹ × 23¹ × 47¹ × 2¹ × 5¹ × 757¹
LCM(22701,22710) = 171846570