What is the Least Common Multiple of 66500 and 66512?

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 66500 and 66512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66500 and 66512, than apply into the LCM equation.

GCF(66500,66512) = 4
LCM(66500,66512) = ( 66500 × 66512) / 4
LCM(66500,66512) = 4423048000 / 4
LCM(66500,66512) = 1105762000

Least Common Multiple (LCM) of 66500 and 66512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66500 and 66512. First we will calculate the prime factors of 66500 and 66512.

Prime Factorization of 66500

Prime Factorization of 66512

Now multiplying the highest exponent prime factors to calculate the LCM of 66500 and 66512.

LCM(66500,66512) = 2⁴ × 5³ × 7¹ × 19¹ × 4157¹
LCM(66500,66512) = 1105762000