What is the Least Common Multiple of 56398 and 56418?

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 56398 and 56418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56398 and 56418, than apply into the LCM equation.

GCF(56398,56418) = 2
LCM(56398,56418) = ( 56398 × 56418) / 2
LCM(56398,56418) = 3181862364 / 2
LCM(56398,56418) = 1590931182

Least Common Multiple (LCM) of 56398 and 56418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56398 and 56418. First we will calculate the prime factors of 56398 and 56418.

Prime Factorization of 56398

Prime Factorization of 56418

Now multiplying the highest exponent prime factors to calculate the LCM of 56398 and 56418.

LCM(56398,56418) = 2¹ × 163¹ × 173¹ × 3¹ × 9403¹
LCM(56398,56418) = 1590931182