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What is the Least Common Multiple of 7202 and 7217?

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 7202 and 7217 is 51976834.

LCM(7202,7217) = 51976834

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Least Common Multiple of 7202 and 7217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7202 and 7217, than apply into the LCM equation.

GCF(7202,7217) = 1
LCM(7202,7217) = ( 7202 × 7217) / 1
LCM(7202,7217) = 51976834 / 1
LCM(7202,7217) = 51976834

Least Common Multiple (LCM) of 7202 and 7217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7202 and 7217. First we will calculate the prime factors of 7202 and 7217.

Prime Factorization of 7202

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

7202 = 21 × 131 × 2771

Prime Factorization of 7217

Prime factors of 7217 are 7, 1031. Prime factorization of 7217 in exponential form is:

7217 = 71 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 7202 and 7217.

LCM(7202,7217) = 21 × 131 × 2771 × 71 × 10311
LCM(7202,7217) = 51976834