What is the Least Common Multiple of 66297 and 66301?

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 66297 and 66301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66297 and 66301, than apply into the LCM equation.

GCF(66297,66301) = 1
LCM(66297,66301) = ( 66297 × 66301) / 1
LCM(66297,66301) = 4395557397 / 1
LCM(66297,66301) = 4395557397

Least Common Multiple (LCM) of 66297 and 66301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66297 and 66301. First we will calculate the prime factors of 66297 and 66301.

Prime Factorization of 66297

Prime Factorization of 66301

Now multiplying the highest exponent prime factors to calculate the LCM of 66297 and 66301.

LCM(66297,66301) = 3¹ × 7² × 11¹ × 41¹ × 66301¹
LCM(66297,66301) = 4395557397