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What is the Least Common Multiple of 7347 and 7358?

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 7347 and 7358 is 54059226.

LCM(7347,7358) = 54059226

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Least Common Multiple of 7347 and 7358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7347 and 7358, than apply into the LCM equation.

GCF(7347,7358) = 1
LCM(7347,7358) = ( 7347 × 7358) / 1
LCM(7347,7358) = 54059226 / 1
LCM(7347,7358) = 54059226

Least Common Multiple (LCM) of 7347 and 7358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7347 and 7358. First we will calculate the prime factors of 7347 and 7358.

Prime Factorization of 7347

Prime factors of 7347 are 3, 31, 79. Prime factorization of 7347 in exponential form is:

7347 = 31 × 311 × 791

Prime Factorization of 7358

Prime factors of 7358 are 2, 13, 283. Prime factorization of 7358 in exponential form is:

7358 = 21 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7347 and 7358.

LCM(7347,7358) = 31 × 311 × 791 × 21 × 131 × 2831
LCM(7347,7358) = 54059226