What is the Least Common Multiple of 66023 and 66035?

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 66023 and 66035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66023 and 66035, than apply into the LCM equation.

GCF(66023,66035) = 1
LCM(66023,66035) = ( 66023 × 66035) / 1
LCM(66023,66035) = 4359828805 / 1
LCM(66023,66035) = 4359828805

Least Common Multiple (LCM) of 66023 and 66035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66023 and 66035. First we will calculate the prime factors of 66023 and 66035.

Prime Factorization of 66023

Prime Factorization of 66035

Now multiplying the highest exponent prime factors to calculate the LCM of 66023 and 66035.

LCM(66023,66035) = 103¹ × 641¹ × 5¹ × 47¹ × 281¹
LCM(66023,66035) = 4359828805