What is the Least Common Multiple of 70794 and 70813?

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 70813 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 70813, than apply into the LCM equation.

GCF(70794,70813) = 19
LCM(70794,70813) = ( 70794 × 70813) / 19
LCM(70794,70813) = 5013135522 / 19
LCM(70794,70813) = 263849238

Least Common Multiple (LCM) of 70794 and 70813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70794 and 70813. First we will calculate the prime factors of 70794 and 70813.

Prime Factorization of 70794

Prime Factorization of 70813

Now multiplying the highest exponent prime factors to calculate the LCM of 70794 and 70813.

LCM(70794,70813) = 2¹ × 3⁴ × 19¹ × 23¹ × 3727¹
LCM(70794,70813) = 263849238