What is the Least Common Multiple of 66275 and 66295?

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 66275 and 66295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66275 and 66295, than apply into the LCM equation.

GCF(66275,66295) = 5
LCM(66275,66295) = ( 66275 × 66295) / 5
LCM(66275,66295) = 4393701125 / 5
LCM(66275,66295) = 878740225

Least Common Multiple (LCM) of 66275 and 66295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66275 and 66295. First we will calculate the prime factors of 66275 and 66295.

Prime Factorization of 66275

Prime Factorization of 66295

Now multiplying the highest exponent prime factors to calculate the LCM of 66275 and 66295.

LCM(66275,66295) = 5² × 11¹ × 241¹ × 13259¹
LCM(66275,66295) = 878740225