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What is the Least Common Multiple of 2225 and 2235?

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 (LCM) of 2225 and 2235 is 994575.

LCM(2225,2235) = 994575

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Least Common Multiple of 2225 and 2235 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 2235, than apply into the LCM equation.

GCF(2225,2235) = 5
LCM(2225,2235) = ( 2225 × 2235) / 5
LCM(2225,2235) = 4972875 / 5
LCM(2225,2235) = 994575

Least Common Multiple (LCM) of 2225 and 2235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2225 and 2235. First we will calculate the prime factors of 2225 and 2235.

Prime Factorization of 2225

Prime factors of 2225 are 5, 89. Prime factorization of 2225 in exponential form is:

2225 = 52 × 891

Prime Factorization of 2235

Prime factors of 2235 are 3, 5, 149. Prime factorization of 2235 in exponential form is:

2235 = 31 × 51 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2225 and 2235.

LCM(2225,2235) = 52 × 891 × 31 × 1491
LCM(2225,2235) = 994575