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What is the Least Common Multiple of 62229 and 62242?

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 62229 and 62242 is 3873257418.

LCM(62229,62242) = 3873257418

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Least Common Multiple of 62229 and 62242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62229 and 62242, than apply into the LCM equation.

GCF(62229,62242) = 1
LCM(62229,62242) = ( 62229 × 62242) / 1
LCM(62229,62242) = 3873257418 / 1
LCM(62229,62242) = 3873257418

Least Common Multiple (LCM) of 62229 and 62242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62229 and 62242. First we will calculate the prime factors of 62229 and 62242.

Prime Factorization of 62229

Prime factors of 62229 are 3, 20743. Prime factorization of 62229 in exponential form is:

62229 = 31 × 207431

Prime Factorization of 62242

Prime factors of 62242 are 2, 31121. Prime factorization of 62242 in exponential form is:

62242 = 21 × 311211

Now multiplying the highest exponent prime factors to calculate the LCM of 62229 and 62242.

LCM(62229,62242) = 31 × 207431 × 21 × 311211
LCM(62229,62242) = 3873257418