What is the Least Common Multiple of 66804 and 66823?

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 66804 and 66823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66804 and 66823, than apply into the LCM equation.

GCF(66804,66823) = 19
LCM(66804,66823) = ( 66804 × 66823) / 19
LCM(66804,66823) = 4464043692 / 19
LCM(66804,66823) = 234949668

Least Common Multiple (LCM) of 66804 and 66823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66804 and 66823. First we will calculate the prime factors of 66804 and 66823.

Prime Factorization of 66804

Prime Factorization of 66823

Now multiplying the highest exponent prime factors to calculate the LCM of 66804 and 66823.

LCM(66804,66823) = 2² × 3¹ × 19¹ × 293¹ × 3517¹
LCM(66804,66823) = 234949668