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What is the Least Common Multiple of 62211 and 62218?

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 62211 and 62218 is 3870643998.

LCM(62211,62218) = 3870643998

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Least Common Multiple of 62211 and 62218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62211 and 62218, than apply into the LCM equation.

GCF(62211,62218) = 1
LCM(62211,62218) = ( 62211 × 62218) / 1
LCM(62211,62218) = 3870643998 / 1
LCM(62211,62218) = 3870643998

Least Common Multiple (LCM) of 62211 and 62218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62211 and 62218. First we will calculate the prime factors of 62211 and 62218.

Prime Factorization of 62211

Prime factors of 62211 are 3, 89, 233. Prime factorization of 62211 in exponential form is:

62211 = 31 × 891 × 2331

Prime Factorization of 62218

Prime factors of 62218 are 2, 13, 2393. Prime factorization of 62218 in exponential form is:

62218 = 21 × 131 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 62211 and 62218.

LCM(62211,62218) = 31 × 891 × 2331 × 21 × 131 × 23931
LCM(62211,62218) = 3870643998