What is the Least Common Multiple of 66280 and 66294?

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 66280 and 66294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66280 and 66294, than apply into the LCM equation.

GCF(66280,66294) = 2
LCM(66280,66294) = ( 66280 × 66294) / 2
LCM(66280,66294) = 4393966320 / 2
LCM(66280,66294) = 2196983160

Least Common Multiple (LCM) of 66280 and 66294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66280 and 66294. First we will calculate the prime factors of 66280 and 66294.

Prime Factorization of 66280

Prime Factorization of 66294

Now multiplying the highest exponent prime factors to calculate the LCM of 66280 and 66294.

LCM(66280,66294) = 2³ × 5¹ × 1657¹ × 3² × 29¹ × 127¹
LCM(66280,66294) = 2196983160