What is the Least Common Multiple of 73185 and 73204?

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 73204 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 73204, than apply into the LCM equation.

GCF(73185,73204) = 1
LCM(73185,73204) = ( 73185 × 73204) / 1
LCM(73185,73204) = 5357434740 / 1
LCM(73185,73204) = 5357434740

Least Common Multiple (LCM) of 73185 and 73204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73185 and 73204. First we will calculate the prime factors of 73185 and 73204.

Prime Factorization of 73185

Prime Factorization of 73204

Now multiplying the highest exponent prime factors to calculate the LCM of 73185 and 73204.

LCM(73185,73204) = 3¹ × 5¹ × 7¹ × 17¹ × 41¹ × 2² × 18301¹
LCM(73185,73204) = 5357434740