What is the Least Common Multiple of 70833 and 70845?

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 70833 and 70845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70833 and 70845, than apply into the LCM equation.

GCF(70833,70845) = 3
LCM(70833,70845) = ( 70833 × 70845) / 3
LCM(70833,70845) = 5018163885 / 3
LCM(70833,70845) = 1672721295

Least Common Multiple (LCM) of 70833 and 70845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70833 and 70845. First we will calculate the prime factors of 70833 and 70845.

Prime Factorization of 70833

Prime Factorization of 70845

Now multiplying the highest exponent prime factors to calculate the LCM of 70833 and 70845.

LCM(70833,70845) = 3¹ × 7¹ × 3373¹ × 5¹ × 4723¹
LCM(70833,70845) = 1672721295