What is the Least Common Multiple of 73185 and 73202?

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 73202 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 73202, than apply into the LCM equation.

GCF(73185,73202) = 17
LCM(73185,73202) = ( 73185 × 73202) / 17
LCM(73185,73202) = 5357288370 / 17
LCM(73185,73202) = 315134610

Least Common Multiple (LCM) of 73185 and 73202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73185 and 73202. First we will calculate the prime factors of 73185 and 73202.

Prime Factorization of 73185

Prime Factorization of 73202

Now multiplying the highest exponent prime factors to calculate the LCM of 73185 and 73202.

LCM(73185,73202) = 3¹ × 5¹ × 7¹ × 17¹ × 41¹ × 2¹ × 2153¹
LCM(73185,73202) = 315134610