What is the Least Common Multiple of 10230 and 10249?

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 10230 and 10249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10230 and 10249, than apply into the LCM equation.

GCF(10230,10249) = 1
LCM(10230,10249) = ( 10230 × 10249) / 1
LCM(10230,10249) = 104847270 / 1
LCM(10230,10249) = 104847270

Least Common Multiple (LCM) of 10230 and 10249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10230 and 10249. First we will calculate the prime factors of 10230 and 10249.

Prime Factorization of 10230

Prime Factorization of 10249

Now multiplying the highest exponent prime factors to calculate the LCM of 10230 and 10249.

LCM(10230,10249) = 2¹ × 3¹ × 5¹ × 11¹ × 31¹ × 37¹ × 277¹
LCM(10230,10249) = 104847270