What is the Least Common Multiple of 70546 and 70556?

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 70546 and 70556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70546 and 70556, than apply into the LCM equation.

GCF(70546,70556) = 2
LCM(70546,70556) = ( 70546 × 70556) / 2
LCM(70546,70556) = 4977443576 / 2
LCM(70546,70556) = 2488721788

Least Common Multiple (LCM) of 70546 and 70556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70546 and 70556. First we will calculate the prime factors of 70546 and 70556.

Prime Factorization of 70546

Prime Factorization of 70556

Now multiplying the highest exponent prime factors to calculate the LCM of 70546 and 70556.

LCM(70546,70556) = 2² × 7¹ × 5039¹ × 31¹ × 569¹
LCM(70546,70556) = 2488721788