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What is the Least Common Multiple of 62210 and 62221?

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 62210 and 62221 is 3870768410.

LCM(62210,62221) = 3870768410

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Least Common Multiple of 62210 and 62221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62210 and 62221, than apply into the LCM equation.

GCF(62210,62221) = 1
LCM(62210,62221) = ( 62210 × 62221) / 1
LCM(62210,62221) = 3870768410 / 1
LCM(62210,62221) = 3870768410

Least Common Multiple (LCM) of 62210 and 62221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62210 and 62221. First we will calculate the prime factors of 62210 and 62221.

Prime Factorization of 62210

Prime factors of 62210 are 2, 5, 6221. Prime factorization of 62210 in exponential form is:

62210 = 21 × 51 × 62211

Prime Factorization of 62221

Prime factors of 62221 are 43, 1447. Prime factorization of 62221 in exponential form is:

62221 = 431 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 62210 and 62221.

LCM(62210,62221) = 21 × 51 × 62211 × 431 × 14471
LCM(62210,62221) = 3870768410