What is the Least Common Multiple of 8005 and 8023?

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 8005 and 8023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8005 and 8023, than apply into the LCM equation.

GCF(8005,8023) = 1
LCM(8005,8023) = ( 8005 × 8023) / 1
LCM(8005,8023) = 64224115 / 1
LCM(8005,8023) = 64224115

Least Common Multiple (LCM) of 8005 and 8023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8005 and 8023. First we will calculate the prime factors of 8005 and 8023.

Prime Factorization of 8005

Prime Factorization of 8023

Now multiplying the highest exponent prime factors to calculate the LCM of 8005 and 8023.

LCM(8005,8023) = 5¹ × 1601¹ × 71¹ × 113¹
LCM(8005,8023) = 64224115