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What is the Least Common Multiple of 5397 and 5416?

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 5397 and 5416 is 29230152.

LCM(5397,5416) = 29230152

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Least Common Multiple of 5397 and 5416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5397 and 5416, than apply into the LCM equation.

GCF(5397,5416) = 1
LCM(5397,5416) = ( 5397 × 5416) / 1
LCM(5397,5416) = 29230152 / 1
LCM(5397,5416) = 29230152

Least Common Multiple (LCM) of 5397 and 5416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5397 and 5416. First we will calculate the prime factors of 5397 and 5416.

Prime Factorization of 5397

Prime factors of 5397 are 3, 7, 257. Prime factorization of 5397 in exponential form is:

5397 = 31 × 71 × 2571

Prime Factorization of 5416

Prime factors of 5416 are 2, 677. Prime factorization of 5416 in exponential form is:

5416 = 23 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 5397 and 5416.

LCM(5397,5416) = 31 × 71 × 2571 × 23 × 6771
LCM(5397,5416) = 29230152