What is the Least Common Multiple of 35230 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 35230 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 35230 and 35243, than apply into the LCM equation.

GCF(35230,35243) = 13
LCM(35230,35243) = ( 35230 × 35243) / 13
LCM(35230,35243) = 1241610890 / 13
LCM(35230,35243) = 95508530

Least Common Multiple (LCM) of 35230 and 35243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35230 and 35243. First we will calculate the prime factors of 35230 and 35243.

Prime Factorization of 35230

Prime Factorization of 35243

Now multiplying the highest exponent prime factors to calculate the LCM of 35230 and 35243.

LCM(35230,35243) = 2¹ × 5¹ × 13¹ × 271¹ × 2711¹
LCM(35230,35243) = 95508530