What is the Least Common Multiple of 59178 and 59185?

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 59178 and 59185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59178 and 59185, than apply into the LCM equation.

GCF(59178,59185) = 7
LCM(59178,59185) = ( 59178 × 59185) / 7
LCM(59178,59185) = 3502449930 / 7
LCM(59178,59185) = 500349990

Least Common Multiple (LCM) of 59178 and 59185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59178 and 59185. First we will calculate the prime factors of 59178 and 59185.

Prime Factorization of 59178

Prime Factorization of 59185

Now multiplying the highest exponent prime factors to calculate the LCM of 59178 and 59185.

LCM(59178,59185) = 2¹ × 3¹ × 7¹ × 1409¹ × 5¹ × 19¹ × 89¹
LCM(59178,59185) = 500349990