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What is the Least Common Multiple of 62094 and 62111?

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 62094 and 62111 is 3856720434.

LCM(62094,62111) = 3856720434

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Least Common Multiple of 62094 and 62111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62094 and 62111, than apply into the LCM equation.

GCF(62094,62111) = 1
LCM(62094,62111) = ( 62094 × 62111) / 1
LCM(62094,62111) = 3856720434 / 1
LCM(62094,62111) = 3856720434

Least Common Multiple (LCM) of 62094 and 62111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62094 and 62111. First we will calculate the prime factors of 62094 and 62111.

Prime Factorization of 62094

Prime factors of 62094 are 2, 3, 79, 131. Prime factorization of 62094 in exponential form is:

62094 = 21 × 31 × 791 × 1311

Prime Factorization of 62111

Prime factors of 62111 are 7, 19, 467. Prime factorization of 62111 in exponential form is:

62111 = 71 × 191 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 62094 and 62111.

LCM(62094,62111) = 21 × 31 × 791 × 1311 × 71 × 191 × 4671
LCM(62094,62111) = 3856720434