What is the Least Common Multiple of 30810 and 30822?

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 30810 and 30822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30810 and 30822, than apply into the LCM equation.

GCF(30810,30822) = 6
LCM(30810,30822) = ( 30810 × 30822) / 6
LCM(30810,30822) = 949625820 / 6
LCM(30810,30822) = 158270970

Least Common Multiple (LCM) of 30810 and 30822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30810 and 30822. First we will calculate the prime factors of 30810 and 30822.

Prime Factorization of 30810

Prime Factorization of 30822

Now multiplying the highest exponent prime factors to calculate the LCM of 30810 and 30822.

LCM(30810,30822) = 2¹ × 3¹ × 5¹ × 13¹ × 79¹ × 11¹ × 467¹
LCM(30810,30822) = 158270970