What is the Least Common Multiple of 66351 and 66368?

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 66351 and 66368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66351 and 66368, than apply into the LCM equation.

GCF(66351,66368) = 17
LCM(66351,66368) = ( 66351 × 66368) / 17
LCM(66351,66368) = 4403583168 / 17
LCM(66351,66368) = 259034304

Least Common Multiple (LCM) of 66351 and 66368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66351 and 66368. First we will calculate the prime factors of 66351 and 66368.

Prime Factorization of 66351

Prime Factorization of 66368

Now multiplying the highest exponent prime factors to calculate the LCM of 66351 and 66368.

LCM(66351,66368) = 3¹ × 17¹ × 1301¹ × 2⁶ × 61¹
LCM(66351,66368) = 259034304