What is the Least Common Multiple of 10230 and 10236?

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 10236 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 10236, than apply into the LCM equation.

GCF(10230,10236) = 6
LCM(10230,10236) = ( 10230 × 10236) / 6
LCM(10230,10236) = 104714280 / 6
LCM(10230,10236) = 17452380

Least Common Multiple (LCM) of 10230 and 10236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10230 and 10236. First we will calculate the prime factors of 10230 and 10236.

Prime Factorization of 10230

Prime Factorization of 10236

Now multiplying the highest exponent prime factors to calculate the LCM of 10230 and 10236.

LCM(10230,10236) = 2² × 3¹ × 5¹ × 11¹ × 31¹ × 853¹
LCM(10230,10236) = 17452380