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What is the Least Common Multiple of 5311 and 5320?

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 5311 and 5320 is 28254520.

LCM(5311,5320) = 28254520

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Least Common Multiple of 5311 and 5320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5311 and 5320, than apply into the LCM equation.

GCF(5311,5320) = 1
LCM(5311,5320) = ( 5311 × 5320) / 1
LCM(5311,5320) = 28254520 / 1
LCM(5311,5320) = 28254520

Least Common Multiple (LCM) of 5311 and 5320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5311 and 5320. First we will calculate the prime factors of 5311 and 5320.

Prime Factorization of 5311

Prime factors of 5311 are 47, 113. Prime factorization of 5311 in exponential form is:

5311 = 471 × 1131

Prime Factorization of 5320

Prime factors of 5320 are 2, 5, 7, 19. Prime factorization of 5320 in exponential form is:

5320 = 23 × 51 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 5311 and 5320.

LCM(5311,5320) = 471 × 1131 × 23 × 51 × 71 × 191
LCM(5311,5320) = 28254520