What is the Least Common Multiple of 66228 and 66245?

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 66228 and 66245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66228 and 66245, than apply into the LCM equation.

GCF(66228,66245) = 1
LCM(66228,66245) = ( 66228 × 66245) / 1
LCM(66228,66245) = 4387273860 / 1
LCM(66228,66245) = 4387273860

Least Common Multiple (LCM) of 66228 and 66245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66228 and 66245. First we will calculate the prime factors of 66228 and 66245.

Prime Factorization of 66228

Prime Factorization of 66245

Now multiplying the highest exponent prime factors to calculate the LCM of 66228 and 66245.

LCM(66228,66245) = 2² × 3¹ × 5519¹ × 5¹ × 13249¹
LCM(66228,66245) = 4387273860