What is the Least Common Multiple of 2225 and 2240?

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 2225 and 2240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2225 and 2240, than apply into the LCM equation.

GCF(2225,2240) = 5
LCM(2225,2240) = ( 2225 × 2240) / 5
LCM(2225,2240) = 4984000 / 5
LCM(2225,2240) = 996800

Least Common Multiple (LCM) of 2225 and 2240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2225 and 2240. First we will calculate the prime factors of 2225 and 2240.

Prime Factorization of 2225

Prime Factorization of 2240

Now multiplying the highest exponent prime factors to calculate the LCM of 2225 and 2240.

LCM(2225,2240) = 5² × 89¹ × 2⁶ × 7¹
LCM(2225,2240) = 996800