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What is the Least Common Multiple of 7252 and 7269?

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 7252 and 7269 is 52714788.

LCM(7252,7269) = 52714788

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Least Common Multiple of 7252 and 7269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7252 and 7269, than apply into the LCM equation.

GCF(7252,7269) = 1
LCM(7252,7269) = ( 7252 × 7269) / 1
LCM(7252,7269) = 52714788 / 1
LCM(7252,7269) = 52714788

Least Common Multiple (LCM) of 7252 and 7269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7252 and 7269. First we will calculate the prime factors of 7252 and 7269.

Prime Factorization of 7252

Prime factors of 7252 are 2, 7, 37. Prime factorization of 7252 in exponential form is:

7252 = 22 × 72 × 371

Prime Factorization of 7269

Prime factors of 7269 are 3, 2423. Prime factorization of 7269 in exponential form is:

7269 = 31 × 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 7252 and 7269.

LCM(7252,7269) = 22 × 72 × 371 × 31 × 24231
LCM(7252,7269) = 52714788