What is the Least Common Multiple of 6225 and 6230?

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 6225 and 6230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6225 and 6230, than apply into the LCM equation.

GCF(6225,6230) = 5
LCM(6225,6230) = ( 6225 × 6230) / 5
LCM(6225,6230) = 38781750 / 5
LCM(6225,6230) = 7756350

Least Common Multiple (LCM) of 6225 and 6230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6225 and 6230. First we will calculate the prime factors of 6225 and 6230.

Prime Factorization of 6225

Prime Factorization of 6230

Now multiplying the highest exponent prime factors to calculate the LCM of 6225 and 6230.

LCM(6225,6230) = 3¹ × 5² × 83¹ × 2¹ × 7¹ × 89¹
LCM(6225,6230) = 7756350