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What is the Least Common Multiple of 62193 and 62211?

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 62193 and 62211 is 1289696241.

LCM(62193,62211) = 1289696241

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Least Common Multiple of 62193 and 62211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62193 and 62211, than apply into the LCM equation.

GCF(62193,62211) = 3
LCM(62193,62211) = ( 62193 × 62211) / 3
LCM(62193,62211) = 3869088723 / 3
LCM(62193,62211) = 1289696241

Least Common Multiple (LCM) of 62193 and 62211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62193 and 62211. First we will calculate the prime factors of 62193 and 62211.

Prime Factorization of 62193

Prime factors of 62193 are 3, 20731. Prime factorization of 62193 in exponential form is:

62193 = 31 × 207311

Prime Factorization of 62211

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

62211 = 31 × 891 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 62193 and 62211.

LCM(62193,62211) = 31 × 207311 × 891 × 2331
LCM(62193,62211) = 1289696241