What is the Least Common Multiple of 39354 and 39369?

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 39354 and 39369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39354 and 39369, than apply into the LCM equation.

GCF(39354,39369) = 3
LCM(39354,39369) = ( 39354 × 39369) / 3
LCM(39354,39369) = 1549327626 / 3
LCM(39354,39369) = 516442542

Least Common Multiple (LCM) of 39354 and 39369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39354 and 39369. First we will calculate the prime factors of 39354 and 39369.

Prime Factorization of 39354

Prime Factorization of 39369

Now multiplying the highest exponent prime factors to calculate the LCM of 39354 and 39369.

LCM(39354,39369) = 2¹ × 3¹ × 7¹ × 937¹ × 11¹ × 1193¹
LCM(39354,39369) = 516442542