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What is the Least Common Multiple of 7193 and 7198?

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 7193 and 7198 is 51775214.

LCM(7193,7198) = 51775214

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Least Common Multiple of 7193 and 7198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7193 and 7198, than apply into the LCM equation.

GCF(7193,7198) = 1
LCM(7193,7198) = ( 7193 × 7198) / 1
LCM(7193,7198) = 51775214 / 1
LCM(7193,7198) = 51775214

Least Common Multiple (LCM) of 7193 and 7198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7193 and 7198. First we will calculate the prime factors of 7193 and 7198.

Prime Factorization of 7193

Prime factors of 7193 are 7193. Prime factorization of 7193 in exponential form is:

7193 = 71931

Prime Factorization of 7198

Prime factors of 7198 are 2, 59, 61. Prime factorization of 7198 in exponential form is:

7198 = 21 × 591 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 7193 and 7198.

LCM(7193,7198) = 71931 × 21 × 591 × 611
LCM(7193,7198) = 51775214