What is the Least Common Multiple of 66749 and 66756?

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 66749 and 66756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66749 and 66756, than apply into the LCM equation.

GCF(66749,66756) = 1
LCM(66749,66756) = ( 66749 × 66756) / 1
LCM(66749,66756) = 4455896244 / 1
LCM(66749,66756) = 4455896244

Least Common Multiple (LCM) of 66749 and 66756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66749 and 66756. First we will calculate the prime factors of 66749 and 66756.

Prime Factorization of 66749

Prime Factorization of 66756

Now multiplying the highest exponent prime factors to calculate the LCM of 66749 and 66756.

LCM(66749,66756) = 66749¹ × 2² × 3¹ × 5563¹
LCM(66749,66756) = 4455896244