What is the Least Common Multiple of 60326 and 60334?

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 60326 and 60334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60326 and 60334, than apply into the LCM equation.

GCF(60326,60334) = 2
LCM(60326,60334) = ( 60326 × 60334) / 2
LCM(60326,60334) = 3639708884 / 2
LCM(60326,60334) = 1819854442

Least Common Multiple (LCM) of 60326 and 60334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60326 and 60334. First we will calculate the prime factors of 60326 and 60334.

Prime Factorization of 60326

Prime Factorization of 60334

Now multiplying the highest exponent prime factors to calculate the LCM of 60326 and 60334.

LCM(60326,60334) = 2¹ × 7¹ × 31¹ × 139¹ × 97¹ × 311¹
LCM(60326,60334) = 1819854442