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What is the Least Common Multiple of 99232 and 99248?

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 99232 and 99248 is 615536096.

LCM(99232,99248) = 615536096

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Least Common Multiple of 99232 and 99248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99232 and 99248, than apply into the LCM equation.

GCF(99232,99248) = 16
LCM(99232,99248) = ( 99232 × 99248) / 16
LCM(99232,99248) = 9848577536 / 16
LCM(99232,99248) = 615536096

Least Common Multiple (LCM) of 99232 and 99248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99232 and 99248. First we will calculate the prime factors of 99232 and 99248.

Prime Factorization of 99232

Prime factors of 99232 are 2, 7, 443. Prime factorization of 99232 in exponential form is:

99232 = 25 × 71 × 4431

Prime Factorization of 99248

Prime factors of 99248 are 2, 6203. Prime factorization of 99248 in exponential form is:

99248 = 24 × 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 99232 and 99248.

LCM(99232,99248) = 25 × 71 × 4431 × 62031
LCM(99232,99248) = 615536096