What is the Least Common Multiple of 22830 and 22845?

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 22830 and 22845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22830 and 22845, than apply into the LCM equation.

GCF(22830,22845) = 15
LCM(22830,22845) = ( 22830 × 22845) / 15
LCM(22830,22845) = 521551350 / 15
LCM(22830,22845) = 34770090

Least Common Multiple (LCM) of 22830 and 22845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22830 and 22845. First we will calculate the prime factors of 22830 and 22845.

Prime Factorization of 22830

Prime Factorization of 22845

Now multiplying the highest exponent prime factors to calculate the LCM of 22830 and 22845.

LCM(22830,22845) = 2¹ × 3¹ × 5¹ × 761¹ × 1523¹
LCM(22830,22845) = 34770090