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What is the Least Common Multiple of 71211 and 71222?

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 71211 and 71222 is 5071789842.

LCM(71211,71222) = 5071789842

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Least Common Multiple of 71211 and 71222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71211 and 71222, than apply into the LCM equation.

GCF(71211,71222) = 1
LCM(71211,71222) = ( 71211 × 71222) / 1
LCM(71211,71222) = 5071789842 / 1
LCM(71211,71222) = 5071789842

Least Common Multiple (LCM) of 71211 and 71222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71211 and 71222. First we will calculate the prime factors of 71211 and 71222.

Prime Factorization of 71211

Prime factors of 71211 are 3, 7, 3391. Prime factorization of 71211 in exponential form is:

71211 = 31 × 71 × 33911

Prime Factorization of 71222

Prime factors of 71222 are 2, 149, 239. Prime factorization of 71222 in exponential form is:

71222 = 21 × 1491 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 71211 and 71222.

LCM(71211,71222) = 31 × 71 × 33911 × 21 × 1491 × 2391
LCM(71211,71222) = 5071789842