What is the Least Common Multiple of 56408 and 56414?

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 56408 and 56414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56408 and 56414, than apply into the LCM equation.

GCF(56408,56414) = 2
LCM(56408,56414) = ( 56408 × 56414) / 2
LCM(56408,56414) = 3182200912 / 2
LCM(56408,56414) = 1591100456

Least Common Multiple (LCM) of 56408 and 56414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56408 and 56414. First we will calculate the prime factors of 56408 and 56414.

Prime Factorization of 56408

Prime Factorization of 56414

Now multiplying the highest exponent prime factors to calculate the LCM of 56408 and 56414.

LCM(56408,56414) = 2³ × 11¹ × 641¹ × 67¹ × 421¹
LCM(56408,56414) = 1591100456