What is the Least Common Multiple of 66228 and 66235?

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 66235 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 66235, than apply into the LCM equation.

GCF(66228,66235) = 1
LCM(66228,66235) = ( 66228 × 66235) / 1
LCM(66228,66235) = 4386611580 / 1
LCM(66228,66235) = 4386611580

Least Common Multiple (LCM) of 66228 and 66235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66228 and 66235. First we will calculate the prime factors of 66228 and 66235.

Prime Factorization of 66228

Prime Factorization of 66235

Now multiplying the highest exponent prime factors to calculate the LCM of 66228 and 66235.

LCM(66228,66235) = 2² × 3¹ × 5519¹ × 5¹ × 13¹ × 1019¹
LCM(66228,66235) = 4386611580