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What is the Least Common Multiple of 84831 and 84848?

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 84831 and 84848 is 7197740688.

LCM(84831,84848) = 7197740688

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Least Common Multiple of 84831 and 84848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84831 and 84848, than apply into the LCM equation.

GCF(84831,84848) = 1
LCM(84831,84848) = ( 84831 × 84848) / 1
LCM(84831,84848) = 7197740688 / 1
LCM(84831,84848) = 7197740688

Least Common Multiple (LCM) of 84831 and 84848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84831 and 84848. First we will calculate the prime factors of 84831 and 84848.

Prime Factorization of 84831

Prime factors of 84831 are 3, 28277. Prime factorization of 84831 in exponential form is:

84831 = 31 × 282771

Prime Factorization of 84848

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

84848 = 24 × 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 84831 and 84848.

LCM(84831,84848) = 31 × 282771 × 24 × 53031
LCM(84831,84848) = 7197740688