What is the Least Common Multiple of 45209 and 45224?

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 45209 and 45224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45209 and 45224, than apply into the LCM equation.

GCF(45209,45224) = 1
LCM(45209,45224) = ( 45209 × 45224) / 1
LCM(45209,45224) = 2044531816 / 1
LCM(45209,45224) = 2044531816

Least Common Multiple (LCM) of 45209 and 45224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45209 and 45224. First we will calculate the prime factors of 45209 and 45224.

Prime Factorization of 45209

Prime Factorization of 45224

Now multiplying the highest exponent prime factors to calculate the LCM of 45209 and 45224.

LCM(45209,45224) = 53¹ × 853¹ × 2³ × 5653¹
LCM(45209,45224) = 2044531816