What is the Least Common Multiple of 70794 and 70812?

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 70794 and 70812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70794 and 70812, than apply into the LCM equation.

GCF(70794,70812) = 18
LCM(70794,70812) = ( 70794 × 70812) / 18
LCM(70794,70812) = 5013064728 / 18
LCM(70794,70812) = 278503596

Least Common Multiple (LCM) of 70794 and 70812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70794 and 70812. First we will calculate the prime factors of 70794 and 70812.

Prime Factorization of 70794

Prime Factorization of 70812

Now multiplying the highest exponent prime factors to calculate the LCM of 70794 and 70812.

LCM(70794,70812) = 2² × 3⁴ × 19¹ × 23¹ × 7¹ × 281¹
LCM(70794,70812) = 278503596