What is the Least Common Multiple of 73170 and 73185?

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 73170 and 73185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73170 and 73185, than apply into the LCM equation.

GCF(73170,73185) = 15
LCM(73170,73185) = ( 73170 × 73185) / 15
LCM(73170,73185) = 5354946450 / 15
LCM(73170,73185) = 356996430

Least Common Multiple (LCM) of 73170 and 73185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73170 and 73185. First we will calculate the prime factors of 73170 and 73185.

Prime Factorization of 73170

Prime Factorization of 73185

Now multiplying the highest exponent prime factors to calculate the LCM of 73170 and 73185.

LCM(73170,73185) = 2¹ × 3³ × 5¹ × 271¹ × 7¹ × 17¹ × 41¹
LCM(73170,73185) = 356996430