What is the Least Common Multiple of 73346 and 73358?

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 73346 and 73358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73346 and 73358, than apply into the LCM equation.

GCF(73346,73358) = 2
LCM(73346,73358) = ( 73346 × 73358) / 2
LCM(73346,73358) = 5380515868 / 2
LCM(73346,73358) = 2690257934

Least Common Multiple (LCM) of 73346 and 73358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73346 and 73358. First we will calculate the prime factors of 73346 and 73358.

Prime Factorization of 73346

Prime Factorization of 73358

Now multiplying the highest exponent prime factors to calculate the LCM of 73346 and 73358.

LCM(73346,73358) = 2¹ × 7¹ × 13² × 31¹ × 43¹ × 853¹
LCM(73346,73358) = 2690257934