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What is the Least Common Multiple of 5335 and 5353?

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 5335 and 5353 is 28558255.

LCM(5335,5353) = 28558255

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Least Common Multiple of 5335 and 5353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5335 and 5353, than apply into the LCM equation.

GCF(5335,5353) = 1
LCM(5335,5353) = ( 5335 × 5353) / 1
LCM(5335,5353) = 28558255 / 1
LCM(5335,5353) = 28558255

Least Common Multiple (LCM) of 5335 and 5353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5335 and 5353. First we will calculate the prime factors of 5335 and 5353.

Prime Factorization of 5335

Prime factors of 5335 are 5, 11, 97. Prime factorization of 5335 in exponential form is:

5335 = 51 × 111 × 971

Prime Factorization of 5353

Prime factors of 5353 are 53, 101. Prime factorization of 5353 in exponential form is:

5353 = 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5335 and 5353.

LCM(5335,5353) = 51 × 111 × 971 × 531 × 1011
LCM(5335,5353) = 28558255