What is the Least Common Multiple of 73185 and 73193?

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 73185 and 73193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73185 and 73193, than apply into the LCM equation.

GCF(73185,73193) = 1
LCM(73185,73193) = ( 73185 × 73193) / 1
LCM(73185,73193) = 5356629705 / 1
LCM(73185,73193) = 5356629705

Least Common Multiple (LCM) of 73185 and 73193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73185 and 73193. First we will calculate the prime factors of 73185 and 73193.

Prime Factorization of 73185

Prime Factorization of 73193

Now multiplying the highest exponent prime factors to calculate the LCM of 73185 and 73193.

LCM(73185,73193) = 3¹ × 5¹ × 7¹ × 17¹ × 41¹ × 53¹ × 1381¹
LCM(73185,73193) = 5356629705