What is the Least Common Multiple of 30075 and 30082?

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 30075 and 30082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30075 and 30082, than apply into the LCM equation.

GCF(30075,30082) = 1
LCM(30075,30082) = ( 30075 × 30082) / 1
LCM(30075,30082) = 904716150 / 1
LCM(30075,30082) = 904716150

Least Common Multiple (LCM) of 30075 and 30082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30075 and 30082. First we will calculate the prime factors of 30075 and 30082.

Prime Factorization of 30075

Prime Factorization of 30082

Now multiplying the highest exponent prime factors to calculate the LCM of 30075 and 30082.

LCM(30075,30082) = 3¹ × 5² × 401¹ × 2¹ × 13² × 89¹
LCM(30075,30082) = 904716150