What is the Least Common Multiple of 4040 and 4045?

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 4040 and 4045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4040 and 4045, than apply into the LCM equation.

GCF(4040,4045) = 5
LCM(4040,4045) = ( 4040 × 4045) / 5
LCM(4040,4045) = 16341800 / 5
LCM(4040,4045) = 3268360

Least Common Multiple (LCM) of 4040 and 4045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4045. First we will calculate the prime factors of 4040 and 4045.

Prime Factorization of 4040

Prime Factorization of 4045

Now multiplying the highest exponent prime factors to calculate the LCM of 4040 and 4045.

LCM(4040,4045) = 2³ × 5¹ × 101¹ × 809¹
LCM(4040,4045) = 3268360