What is the Least Common Multiple of 35557 and 35572?

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 35557 and 35572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35557 and 35572, than apply into the LCM equation.

GCF(35557,35572) = 1
LCM(35557,35572) = ( 35557 × 35572) / 1
LCM(35557,35572) = 1264833604 / 1
LCM(35557,35572) = 1264833604

Least Common Multiple (LCM) of 35557 and 35572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35557 and 35572. First we will calculate the prime factors of 35557 and 35572.

Prime Factorization of 35557

Prime Factorization of 35572

Now multiplying the highest exponent prime factors to calculate the LCM of 35557 and 35572.

LCM(35557,35572) = 31² × 37¹ × 2² × 8893¹
LCM(35557,35572) = 1264833604