What is the Least Common Multiple of 70775 and 70794?

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 70775 and 70794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70775 and 70794, than apply into the LCM equation.

GCF(70775,70794) = 19
LCM(70775,70794) = ( 70775 × 70794) / 19
LCM(70775,70794) = 5010445350 / 19
LCM(70775,70794) = 263707650

Least Common Multiple (LCM) of 70775 and 70794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70775 and 70794. First we will calculate the prime factors of 70775 and 70794.

Prime Factorization of 70775

Prime Factorization of 70794

Now multiplying the highest exponent prime factors to calculate the LCM of 70775 and 70794.

LCM(70775,70794) = 5² × 19¹ × 149¹ × 2¹ × 3⁴ × 23¹
LCM(70775,70794) = 263707650