What is the Least Common Multiple of 66084 and 66097?

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 66097 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 66097, than apply into the LCM equation.

GCF(66084,66097) = 1
LCM(66084,66097) = ( 66084 × 66097) / 1
LCM(66084,66097) = 4367954148 / 1
LCM(66084,66097) = 4367954148

Least Common Multiple (LCM) of 66084 and 66097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66084 and 66097. First we will calculate the prime factors of 66084 and 66097.

Prime Factorization of 66084

Prime Factorization of 66097

Now multiplying the highest exponent prime factors to calculate the LCM of 66084 and 66097.

LCM(66084,66097) = 2² × 3¹ × 5507¹ × 157¹ × 421¹
LCM(66084,66097) = 4367954148