What is the Least Common Multiple of 22710 and 22730?

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 22710 and 22730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22710 and 22730, than apply into the LCM equation.

GCF(22710,22730) = 10
LCM(22710,22730) = ( 22710 × 22730) / 10
LCM(22710,22730) = 516198300 / 10
LCM(22710,22730) = 51619830

Least Common Multiple (LCM) of 22710 and 22730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22710 and 22730. First we will calculate the prime factors of 22710 and 22730.

Prime Factorization of 22710

Prime Factorization of 22730

Now multiplying the highest exponent prime factors to calculate the LCM of 22710 and 22730.

LCM(22710,22730) = 2¹ × 3¹ × 5¹ × 757¹ × 2273¹
LCM(22710,22730) = 51619830