What is the Least Common Multiple of 70827 and 70833?

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 70827 and 70833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70827 and 70833, than apply into the LCM equation.

GCF(70827,70833) = 3
LCM(70827,70833) = ( 70827 × 70833) / 3
LCM(70827,70833) = 5016888891 / 3
LCM(70827,70833) = 1672296297

Least Common Multiple (LCM) of 70827 and 70833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70827 and 70833. First we will calculate the prime factors of 70827 and 70833.

Prime Factorization of 70827

Prime Factorization of 70833

Now multiplying the highest exponent prime factors to calculate the LCM of 70827 and 70833.

LCM(70827,70833) = 3¹ × 23609¹ × 7¹ × 3373¹
LCM(70827,70833) = 1672296297