What is the Least Common Multiple of 66732 and 66749?

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 66732 and 66749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66732 and 66749, than apply into the LCM equation.

GCF(66732,66749) = 1
LCM(66732,66749) = ( 66732 × 66749) / 1
LCM(66732,66749) = 4454294268 / 1
LCM(66732,66749) = 4454294268

Least Common Multiple (LCM) of 66732 and 66749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66732 and 66749. First we will calculate the prime factors of 66732 and 66749.

Prime Factorization of 66732

Prime Factorization of 66749

Now multiplying the highest exponent prime factors to calculate the LCM of 66732 and 66749.

LCM(66732,66749) = 2² × 3¹ × 67¹ × 83¹ × 66749¹
LCM(66732,66749) = 4454294268