What is the Least Common Multiple of 66084 and 66091?

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 66084 and 66091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66084 and 66091, than apply into the LCM equation.

GCF(66084,66091) = 1
LCM(66084,66091) = ( 66084 × 66091) / 1
LCM(66084,66091) = 4367557644 / 1
LCM(66084,66091) = 4367557644

Least Common Multiple (LCM) of 66084 and 66091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66084 and 66091. First we will calculate the prime factors of 66084 and 66091.

Prime Factorization of 66084

Prime Factorization of 66091

Now multiplying the highest exponent prime factors to calculate the LCM of 66084 and 66091.

LCM(66084,66091) = 2² × 3¹ × 5507¹ × 29¹ × 43¹ × 53¹
LCM(66084,66091) = 4367557644