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What is the Least Common Multiple of 69211 and 69222?

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 69211 and 69222 is 4790923842.

LCM(69211,69222) = 4790923842

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Least Common Multiple of 69211 and 69222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69211 and 69222, than apply into the LCM equation.

GCF(69211,69222) = 1
LCM(69211,69222) = ( 69211 × 69222) / 1
LCM(69211,69222) = 4790923842 / 1
LCM(69211,69222) = 4790923842

Least Common Multiple (LCM) of 69211 and 69222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69211 and 69222. First we will calculate the prime factors of 69211 and 69222.

Prime Factorization of 69211

Prime factors of 69211 are 67, 1033. Prime factorization of 69211 in exponential form is:

69211 = 671 × 10331

Prime Factorization of 69222

Prime factors of 69222 are 2, 3, 83, 139. Prime factorization of 69222 in exponential form is:

69222 = 21 × 31 × 831 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 69211 and 69222.

LCM(69211,69222) = 671 × 10331 × 21 × 31 × 831 × 1391
LCM(69211,69222) = 4790923842