What is the Least Common Multiple of 66005 and 66023?

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 66005 and 66023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66005 and 66023, than apply into the LCM equation.

GCF(66005,66023) = 1
LCM(66005,66023) = ( 66005 × 66023) / 1
LCM(66005,66023) = 4357848115 / 1
LCM(66005,66023) = 4357848115

Least Common Multiple (LCM) of 66005 and 66023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66005 and 66023. First we will calculate the prime factors of 66005 and 66023.

Prime Factorization of 66005

Prime Factorization of 66023

Now multiplying the highest exponent prime factors to calculate the LCM of 66005 and 66023.

LCM(66005,66023) = 5¹ × 43¹ × 307¹ × 103¹ × 641¹
LCM(66005,66023) = 4357848115