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What is the Least Common Multiple of 84232 and 84248?

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 84232 and 84248 is 887047192.

LCM(84232,84248) = 887047192

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Least Common Multiple of 84232 and 84248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84232 and 84248, than apply into the LCM equation.

GCF(84232,84248) = 8
LCM(84232,84248) = ( 84232 × 84248) / 8
LCM(84232,84248) = 7096377536 / 8
LCM(84232,84248) = 887047192

Least Common Multiple (LCM) of 84232 and 84248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84232 and 84248. First we will calculate the prime factors of 84232 and 84248.

Prime Factorization of 84232

Prime factors of 84232 are 2, 10529. Prime factorization of 84232 in exponential form is:

84232 = 23 × 105291

Prime Factorization of 84248

Prime factors of 84248 are 2, 10531. Prime factorization of 84248 in exponential form is:

84248 = 23 × 105311

Now multiplying the highest exponent prime factors to calculate the LCM of 84232 and 84248.

LCM(84232,84248) = 23 × 105291 × 105311
LCM(84232,84248) = 887047192