What is the Least Common Multiple of 45005 and 45025?

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 45005 and 45025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45005 and 45025, than apply into the LCM equation.

GCF(45005,45025) = 5
LCM(45005,45025) = ( 45005 × 45025) / 5
LCM(45005,45025) = 2026350125 / 5
LCM(45005,45025) = 405270025

Least Common Multiple (LCM) of 45005 and 45025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45005 and 45025. First we will calculate the prime factors of 45005 and 45025.

Prime Factorization of 45005

Prime Factorization of 45025

Now multiplying the highest exponent prime factors to calculate the LCM of 45005 and 45025.

LCM(45005,45025) = 5² × 9001¹ × 1801¹
LCM(45005,45025) = 405270025