What is the Least Common Multiple of 75666 and 75681?

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 75666 and 75681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75666 and 75681, than apply into the LCM equation.

GCF(75666,75681) = 3
LCM(75666,75681) = ( 75666 × 75681) / 3
LCM(75666,75681) = 5726478546 / 3
LCM(75666,75681) = 1908826182

Least Common Multiple (LCM) of 75666 and 75681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75666 and 75681. First we will calculate the prime factors of 75666 and 75681.

Prime Factorization of 75666

Prime Factorization of 75681

Now multiplying the highest exponent prime factors to calculate the LCM of 75666 and 75681.

LCM(75666,75681) = 2¹ × 3³ × 12611¹ × 2803¹
LCM(75666,75681) = 1908826182