What is the Least Common Multiple of 35228 and 35243?

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 35228 and 35243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35228 and 35243, than apply into the LCM equation.

GCF(35228,35243) = 1
LCM(35228,35243) = ( 35228 × 35243) / 1
LCM(35228,35243) = 1241540404 / 1
LCM(35228,35243) = 1241540404

Least Common Multiple (LCM) of 35228 and 35243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35228 and 35243. First we will calculate the prime factors of 35228 and 35243.

Prime Factorization of 35228

Prime Factorization of 35243

Now multiplying the highest exponent prime factors to calculate the LCM of 35228 and 35243.

LCM(35228,35243) = 2² × 8807¹ × 13¹ × 2711¹
LCM(35228,35243) = 1241540404