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What is the Least Common Multiple of 84848 and 84868?

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 84848 and 84868 is 1800220016.

LCM(84848,84868) = 1800220016

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Least Common Multiple of 84848 and 84868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84848 and 84868, than apply into the LCM equation.

GCF(84848,84868) = 4
LCM(84848,84868) = ( 84848 × 84868) / 4
LCM(84848,84868) = 7200880064 / 4
LCM(84848,84868) = 1800220016

Least Common Multiple (LCM) of 84848 and 84868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84848 and 84868. First we will calculate the prime factors of 84848 and 84868.

Prime Factorization of 84848

Prime factors of 84848 are 2, 5303. Prime factorization of 84848 in exponential form is:

84848 = 24 × 53031

Prime Factorization of 84868

Prime factors of 84868 are 2, 7, 433. Prime factorization of 84868 in exponential form is:

84868 = 22 × 72 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 84848 and 84868.

LCM(84848,84868) = 24 × 53031 × 72 × 4331
LCM(84848,84868) = 1800220016