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What is the Least Common Multiple of 69248 and 69264?

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 69248 and 69264 is 299774592.

LCM(69248,69264) = 299774592

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Least Common Multiple of 69248 and 69264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69248 and 69264, than apply into the LCM equation.

GCF(69248,69264) = 16
LCM(69248,69264) = ( 69248 × 69264) / 16
LCM(69248,69264) = 4796393472 / 16
LCM(69248,69264) = 299774592

Least Common Multiple (LCM) of 69248 and 69264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69248 and 69264. First we will calculate the prime factors of 69248 and 69264.

Prime Factorization of 69248

Prime factors of 69248 are 2, 541. Prime factorization of 69248 in exponential form is:

69248 = 27 × 5411

Prime Factorization of 69264

Prime factors of 69264 are 2, 3, 13, 37. Prime factorization of 69264 in exponential form is:

69264 = 24 × 32 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 69248 and 69264.

LCM(69248,69264) = 27 × 5411 × 32 × 131 × 371
LCM(69248,69264) = 299774592