What is the Least Common Multiple of 75066 and 75076?

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 75066 and 75076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75066 and 75076, than apply into the LCM equation.

GCF(75066,75076) = 2
LCM(75066,75076) = ( 75066 × 75076) / 2
LCM(75066,75076) = 5635655016 / 2
LCM(75066,75076) = 2817827508

Least Common Multiple (LCM) of 75066 and 75076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75066 and 75076. First we will calculate the prime factors of 75066 and 75076.

Prime Factorization of 75066

Prime Factorization of 75076

Now multiplying the highest exponent prime factors to calculate the LCM of 75066 and 75076.

LCM(75066,75076) = 2² × 3¹ × 12511¹ × 137²
LCM(75066,75076) = 2817827508