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What is the Least Common Multiple of 7184 and 7202?

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 7184 and 7202 is 25869584.

LCM(7184,7202) = 25869584

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Least Common Multiple of 7184 and 7202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7184 and 7202, than apply into the LCM equation.

GCF(7184,7202) = 2
LCM(7184,7202) = ( 7184 × 7202) / 2
LCM(7184,7202) = 51739168 / 2
LCM(7184,7202) = 25869584

Least Common Multiple (LCM) of 7184 and 7202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7184 and 7202. First we will calculate the prime factors of 7184 and 7202.

Prime Factorization of 7184

Prime factors of 7184 are 2, 449. Prime factorization of 7184 in exponential form is:

7184 = 24 × 4491

Prime Factorization of 7202

Prime factors of 7202 are 2, 13, 277. Prime factorization of 7202 in exponential form is:

7202 = 21 × 131 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 7184 and 7202.

LCM(7184,7202) = 24 × 4491 × 131 × 2771
LCM(7184,7202) = 25869584