What is the Least Common Multiple of 70812 and 70822?

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 70812 and 70822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70812 and 70822, than apply into the LCM equation.

GCF(70812,70822) = 2
LCM(70812,70822) = ( 70812 × 70822) / 2
LCM(70812,70822) = 5015047464 / 2
LCM(70812,70822) = 2507523732

Least Common Multiple (LCM) of 70812 and 70822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70812 and 70822. First we will calculate the prime factors of 70812 and 70822.

Prime Factorization of 70812

Prime Factorization of 70822

Now multiplying the highest exponent prime factors to calculate the LCM of 70812 and 70822.

LCM(70812,70822) = 2² × 3² × 7¹ × 281¹ × 17¹ × 2083¹
LCM(70812,70822) = 2507523732