What is the Least Common Multiple of 73202 and 73214?

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 73202 and 73214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73202 and 73214, than apply into the LCM equation.

GCF(73202,73214) = 2
LCM(73202,73214) = ( 73202 × 73214) / 2
LCM(73202,73214) = 5359411228 / 2
LCM(73202,73214) = 2679705614

Least Common Multiple (LCM) of 73202 and 73214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73202 and 73214. First we will calculate the prime factors of 73202 and 73214.

Prime Factorization of 73202

Prime Factorization of 73214

Now multiplying the highest exponent prime factors to calculate the LCM of 73202 and 73214.

LCM(73202,73214) = 2¹ × 17¹ × 2153¹ × 36607¹
LCM(73202,73214) = 2679705614