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What is the Least Common Multiple of 7225 and 7232?

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 7225 and 7232 is 52251200.

LCM(7225,7232) = 52251200

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Least Common Multiple of 7225 and 7232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7225 and 7232, than apply into the LCM equation.

GCF(7225,7232) = 1
LCM(7225,7232) = ( 7225 × 7232) / 1
LCM(7225,7232) = 52251200 / 1
LCM(7225,7232) = 52251200

Least Common Multiple (LCM) of 7225 and 7232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7232. First we will calculate the prime factors of 7225 and 7232.

Prime Factorization of 7225

Prime factors of 7225 are 5, 17. Prime factorization of 7225 in exponential form is:

7225 = 52 × 172

Prime Factorization of 7232

Prime factors of 7232 are 2, 113. Prime factorization of 7232 in exponential form is:

7232 = 26 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7232.

LCM(7225,7232) = 52 × 172 × 26 × 1131
LCM(7225,7232) = 52251200