What is the Least Common Multiple of 66508 and 66514?

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 66508 and 66514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66508 and 66514, than apply into the LCM equation.

GCF(66508,66514) = 2
LCM(66508,66514) = ( 66508 × 66514) / 2
LCM(66508,66514) = 4423713112 / 2
LCM(66508,66514) = 2211856556

Least Common Multiple (LCM) of 66508 and 66514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66508 and 66514. First we will calculate the prime factors of 66508 and 66514.

Prime Factorization of 66508

Prime Factorization of 66514

Now multiplying the highest exponent prime factors to calculate the LCM of 66508 and 66514.

LCM(66508,66514) = 2² × 13¹ × 1279¹ × 7¹ × 4751¹
LCM(66508,66514) = 2211856556