What is the Least Common Multiple of 66069 and 66075?

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 66069 and 66075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66069 and 66075, than apply into the LCM equation.

GCF(66069,66075) = 3
LCM(66069,66075) = ( 66069 × 66075) / 3
LCM(66069,66075) = 4365509175 / 3
LCM(66069,66075) = 1455169725

Least Common Multiple (LCM) of 66069 and 66075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66069 and 66075. First we will calculate the prime factors of 66069 and 66075.

Prime Factorization of 66069

Prime Factorization of 66075

Now multiplying the highest exponent prime factors to calculate the LCM of 66069 and 66075.

LCM(66069,66075) = 3³ × 2447¹ × 5² × 881¹
LCM(66069,66075) = 1455169725