What is the Least Common Multiple of 56394 and 56409?

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 56394 and 56409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56394 and 56409, than apply into the LCM equation.

GCF(56394,56409) = 3
LCM(56394,56409) = ( 56394 × 56409) / 3
LCM(56394,56409) = 3181129146 / 3
LCM(56394,56409) = 1060376382

Least Common Multiple (LCM) of 56394 and 56409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56394 and 56409. First we will calculate the prime factors of 56394 and 56409.

Prime Factorization of 56394

Prime Factorization of 56409

Now multiplying the highest exponent prime factors to calculate the LCM of 56394 and 56409.

LCM(56394,56409) = 2¹ × 3² × 13¹ × 241¹ × 18803¹
LCM(56394,56409) = 1060376382