What is the Least Common Multiple of 56414 and 56433?

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 56414 and 56433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56414 and 56433, than apply into the LCM equation.

GCF(56414,56433) = 1
LCM(56414,56433) = ( 56414 × 56433) / 1
LCM(56414,56433) = 3183611262 / 1
LCM(56414,56433) = 3183611262

Least Common Multiple (LCM) of 56414 and 56433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56414 and 56433. First we will calculate the prime factors of 56414 and 56433.

Prime Factorization of 56414

Prime Factorization of 56433

Now multiplying the highest exponent prime factors to calculate the LCM of 56414 and 56433.

LCM(56414,56433) = 2¹ × 67¹ × 421¹ × 3¹ × 13¹ × 1447¹
LCM(56414,56433) = 3183611262