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What is the Least Common Multiple of 84722 and 84727?

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 84722 and 84727 is 7178240894.

LCM(84722,84727) = 7178240894

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Least Common Multiple of 84722 and 84727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84722 and 84727, than apply into the LCM equation.

GCF(84722,84727) = 1
LCM(84722,84727) = ( 84722 × 84727) / 1
LCM(84722,84727) = 7178240894 / 1
LCM(84722,84727) = 7178240894

Least Common Multiple (LCM) of 84722 and 84727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84722 and 84727. First we will calculate the prime factors of 84722 and 84727.

Prime Factorization of 84722

Prime factors of 84722 are 2, 11, 3851. Prime factorization of 84722 in exponential form is:

84722 = 21 × 111 × 38511

Prime Factorization of 84727

Prime factors of 84727 are 193, 439. Prime factorization of 84727 in exponential form is:

84727 = 1931 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 84722 and 84727.

LCM(84722,84727) = 21 × 111 × 38511 × 1931 × 4391
LCM(84722,84727) = 7178240894