What is the Least Common Multiple of 70933 and 70949?

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 70933 and 70949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70933 and 70949, than apply into the LCM equation.

GCF(70933,70949) = 1
LCM(70933,70949) = ( 70933 × 70949) / 1
LCM(70933,70949) = 5032625417 / 1
LCM(70933,70949) = 5032625417

Least Common Multiple (LCM) of 70933 and 70949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70933 and 70949. First we will calculate the prime factors of 70933 and 70949.

Prime Factorization of 70933

Prime Factorization of 70949

Now multiplying the highest exponent prime factors to calculate the LCM of 70933 and 70949.

LCM(70933,70949) = 89¹ × 797¹ × 70949¹
LCM(70933,70949) = 5032625417