What is the Least Common Multiple of 89810 and 89822?

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 89810 and 89822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89810 and 89822, than apply into the LCM equation.

GCF(89810,89822) = 2
LCM(89810,89822) = ( 89810 × 89822) / 2
LCM(89810,89822) = 8066913820 / 2
LCM(89810,89822) = 4033456910

Least Common Multiple (LCM) of 89810 and 89822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89810 and 89822. First we will calculate the prime factors of 89810 and 89822.

Prime Factorization of 89810

Prime Factorization of 89822

Now multiplying the highest exponent prime factors to calculate the LCM of 89810 and 89822.

LCM(89810,89822) = 2¹ × 5¹ × 7¹ × 1283¹ × 97¹ × 463¹
LCM(89810,89822) = 4033456910