What is the Least Common Multiple of 52378 and 52394?

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 52378 and 52394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52378 and 52394, than apply into the LCM equation.

GCF(52378,52394) = 2
LCM(52378,52394) = ( 52378 × 52394) / 2
LCM(52378,52394) = 2744292932 / 2
LCM(52378,52394) = 1372146466

Least Common Multiple (LCM) of 52378 and 52394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52378 and 52394. First we will calculate the prime factors of 52378 and 52394.

Prime Factorization of 52378

Prime Factorization of 52394

Now multiplying the highest exponent prime factors to calculate the LCM of 52378 and 52394.

LCM(52378,52394) = 2¹ × 26189¹ × 17¹ × 23¹ × 67¹
LCM(52378,52394) = 1372146466