What is the Least Common Multiple of 66282 and 66296?

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 66282 and 66296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66282 and 66296, than apply into the LCM equation.

GCF(66282,66296) = 2
LCM(66282,66296) = ( 66282 × 66296) / 2
LCM(66282,66296) = 4394231472 / 2
LCM(66282,66296) = 2197115736

Least Common Multiple (LCM) of 66282 and 66296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66282 and 66296. First we will calculate the prime factors of 66282 and 66296.

Prime Factorization of 66282

Prime Factorization of 66296

Now multiplying the highest exponent prime factors to calculate the LCM of 66282 and 66296.

LCM(66282,66296) = 2³ × 3¹ × 11047¹ × 8287¹
LCM(66282,66296) = 2197115736