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What is the Least Common Multiple of 7192 and 7197?

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 7192 and 7197 is 51760824.

LCM(7192,7197) = 51760824

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Least Common Multiple of 7192 and 7197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7192 and 7197, than apply into the LCM equation.

GCF(7192,7197) = 1
LCM(7192,7197) = ( 7192 × 7197) / 1
LCM(7192,7197) = 51760824 / 1
LCM(7192,7197) = 51760824

Least Common Multiple (LCM) of 7192 and 7197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7192 and 7197. First we will calculate the prime factors of 7192 and 7197.

Prime Factorization of 7192

Prime factors of 7192 are 2, 29, 31. Prime factorization of 7192 in exponential form is:

7192 = 23 × 291 × 311

Prime Factorization of 7197

Prime factors of 7197 are 3, 2399. Prime factorization of 7197 in exponential form is:

7197 = 31 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 7192 and 7197.

LCM(7192,7197) = 23 × 291 × 311 × 31 × 23991
LCM(7192,7197) = 51760824