What is the Least Common Multiple of 7230 and 7245?

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 7230 and 7245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7230 and 7245, than apply into the LCM equation.

GCF(7230,7245) = 15
LCM(7230,7245) = ( 7230 × 7245) / 15
LCM(7230,7245) = 52381350 / 15
LCM(7230,7245) = 3492090

Least Common Multiple (LCM) of 7230 and 7245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7230 and 7245. First we will calculate the prime factors of 7230 and 7245.

Prime Factorization of 7230

Prime Factorization of 7245

Now multiplying the highest exponent prime factors to calculate the LCM of 7230 and 7245.

LCM(7230,7245) = 2¹ × 3² × 5¹ × 241¹ × 7¹ × 23¹
LCM(7230,7245) = 3492090