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What is the Least Common Multiple of 5216 and 5236?

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 5216 and 5236 is 6827744.

LCM(5216,5236) = 6827744

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Least Common Multiple of 5216 and 5236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5216 and 5236, than apply into the LCM equation.

GCF(5216,5236) = 4
LCM(5216,5236) = ( 5216 × 5236) / 4
LCM(5216,5236) = 27310976 / 4
LCM(5216,5236) = 6827744

Least Common Multiple (LCM) of 5216 and 5236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5216 and 5236. First we will calculate the prime factors of 5216 and 5236.

Prime Factorization of 5216

Prime factors of 5216 are 2, 163. Prime factorization of 5216 in exponential form is:

5216 = 25 × 1631

Prime Factorization of 5236

Prime factors of 5236 are 2, 7, 11, 17. Prime factorization of 5236 in exponential form is:

5236 = 22 × 71 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5216 and 5236.

LCM(5216,5236) = 25 × 1631 × 71 × 111 × 171
LCM(5216,5236) = 6827744