What is the Least Common Multiple of 56072 and 56089?

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 56072 and 56089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56072 and 56089, than apply into the LCM equation.

GCF(56072,56089) = 1
LCM(56072,56089) = ( 56072 × 56089) / 1
LCM(56072,56089) = 3145022408 / 1
LCM(56072,56089) = 3145022408

Least Common Multiple (LCM) of 56072 and 56089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56072 and 56089. First we will calculate the prime factors of 56072 and 56089.

Prime Factorization of 56072

Prime Factorization of 56089

Now multiplying the highest exponent prime factors to calculate the LCM of 56072 and 56089.

LCM(56072,56089) = 2³ × 43¹ × 163¹ × 11¹ × 5099¹
LCM(56072,56089) = 3145022408