What is the Least Common Multiple of 70822 and 70830?

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 70822 and 70830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70822 and 70830, than apply into the LCM equation.

GCF(70822,70830) = 2
LCM(70822,70830) = ( 70822 × 70830) / 2
LCM(70822,70830) = 5016322260 / 2
LCM(70822,70830) = 2508161130

Least Common Multiple (LCM) of 70822 and 70830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70822 and 70830. First we will calculate the prime factors of 70822 and 70830.

Prime Factorization of 70822

Prime Factorization of 70830

Now multiplying the highest exponent prime factors to calculate the LCM of 70822 and 70830.

LCM(70822,70830) = 2¹ × 17¹ × 2083¹ × 3² × 5¹ × 787¹
LCM(70822,70830) = 2508161130