What is the Least Common Multiple of 30177 and 30185?

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 30177 and 30185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30177 and 30185, than apply into the LCM equation.

GCF(30177,30185) = 1
LCM(30177,30185) = ( 30177 × 30185) / 1
LCM(30177,30185) = 910892745 / 1
LCM(30177,30185) = 910892745

Least Common Multiple (LCM) of 30177 and 30185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30177 and 30185. First we will calculate the prime factors of 30177 and 30185.

Prime Factorization of 30177

Prime Factorization of 30185

Now multiplying the highest exponent prime factors to calculate the LCM of 30177 and 30185.

LCM(30177,30185) = 3² × 7¹ × 479¹ × 5¹ × 6037¹
LCM(30177,30185) = 910892745