What is the Least Common Multiple of 70794 and 70809?

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 70809 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 70809, than apply into the LCM equation.

GCF(70794,70809) = 3
LCM(70794,70809) = ( 70794 × 70809) / 3
LCM(70794,70809) = 5012852346 / 3
LCM(70794,70809) = 1670950782

Least Common Multiple (LCM) of 70794 and 70809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70794 and 70809. First we will calculate the prime factors of 70794 and 70809.

Prime Factorization of 70794

Prime Factorization of 70809

Now multiplying the highest exponent prime factors to calculate the LCM of 70794 and 70809.

LCM(70794,70809) = 2¹ × 3⁴ × 19¹ × 23¹ × 23603¹
LCM(70794,70809) = 1670950782