What is the Least Common Multiple of 70824 and 70843?

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 70824 and 70843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70824 and 70843, than apply into the LCM equation.

GCF(70824,70843) = 1
LCM(70824,70843) = ( 70824 × 70843) / 1
LCM(70824,70843) = 5017384632 / 1
LCM(70824,70843) = 5017384632

Least Common Multiple (LCM) of 70824 and 70843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70824 and 70843. First we will calculate the prime factors of 70824 and 70843.

Prime Factorization of 70824

Prime Factorization of 70843

Now multiplying the highest exponent prime factors to calculate the LCM of 70824 and 70843.

LCM(70824,70843) = 2³ × 3¹ × 13¹ × 227¹ × 70843¹
LCM(70824,70843) = 5017384632