What is the Least Common Multiple of 66884 and 66901?

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 66884 and 66901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66884 and 66901, than apply into the LCM equation.

GCF(66884,66901) = 1
LCM(66884,66901) = ( 66884 × 66901) / 1
LCM(66884,66901) = 4474606484 / 1
LCM(66884,66901) = 4474606484

Least Common Multiple (LCM) of 66884 and 66901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66884 and 66901. First we will calculate the prime factors of 66884 and 66901.

Prime Factorization of 66884

Prime Factorization of 66901

Now multiplying the highest exponent prime factors to calculate the LCM of 66884 and 66901.

LCM(66884,66901) = 2² × 23¹ × 727¹ × 149¹ × 449¹
LCM(66884,66901) = 4474606484