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What is the Least Common Multiple of 52270 and 52276?

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 52270 and 52276 is 1366233260.

LCM(52270,52276) = 1366233260

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Least Common Multiple of 52270 and 52276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52270 and 52276, than apply into the LCM equation.

GCF(52270,52276) = 2
LCM(52270,52276) = ( 52270 × 52276) / 2
LCM(52270,52276) = 2732466520 / 2
LCM(52270,52276) = 1366233260

Least Common Multiple (LCM) of 52270 and 52276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52270 and 52276. First we will calculate the prime factors of 52270 and 52276.

Prime Factorization of 52270

Prime factors of 52270 are 2, 5, 5227. Prime factorization of 52270 in exponential form is:

52270 = 21 × 51 × 52271

Prime Factorization of 52276

Prime factors of 52276 are 2, 7, 1867. Prime factorization of 52276 in exponential form is:

52276 = 22 × 71 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 52270 and 52276.

LCM(52270,52276) = 22 × 51 × 52271 × 71 × 18671
LCM(52270,52276) = 1366233260