What is the Least Common Multiple of 70854 and 70859?

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 70854 and 70859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70854 and 70859, than apply into the LCM equation.

GCF(70854,70859) = 1
LCM(70854,70859) = ( 70854 × 70859) / 1
LCM(70854,70859) = 5020643586 / 1
LCM(70854,70859) = 5020643586

Least Common Multiple (LCM) of 70854 and 70859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70854 and 70859. First we will calculate the prime factors of 70854 and 70859.

Prime Factorization of 70854

Prime Factorization of 70859

Now multiplying the highest exponent prime factors to calculate the LCM of 70854 and 70859.

LCM(70854,70859) = 2¹ × 3¹ × 7² × 241¹ × 59¹ × 1201¹
LCM(70854,70859) = 5020643586