What is the Least Common Multiple of 70556 and 70569?

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 70556 and 70569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70556 and 70569, than apply into the LCM equation.

GCF(70556,70569) = 1
LCM(70556,70569) = ( 70556 × 70569) / 1
LCM(70556,70569) = 4979066364 / 1
LCM(70556,70569) = 4979066364

Least Common Multiple (LCM) of 70556 and 70569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70556 and 70569. First we will calculate the prime factors of 70556 and 70569.

Prime Factorization of 70556

Prime Factorization of 70569

Now multiplying the highest exponent prime factors to calculate the LCM of 70556 and 70569.

LCM(70556,70569) = 2² × 31¹ × 569¹ × 3² × 7841¹
LCM(70556,70569) = 4979066364