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What is the Least Common Multiple of 62122 and 62139?

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 62122 and 62139 is 3860198958.

LCM(62122,62139) = 3860198958

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Least Common Multiple of 62122 and 62139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62122 and 62139, than apply into the LCM equation.

GCF(62122,62139) = 1
LCM(62122,62139) = ( 62122 × 62139) / 1
LCM(62122,62139) = 3860198958 / 1
LCM(62122,62139) = 3860198958

Least Common Multiple (LCM) of 62122 and 62139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62122 and 62139. First we will calculate the prime factors of 62122 and 62139.

Prime Factorization of 62122

Prime factors of 62122 are 2, 89, 349. Prime factorization of 62122 in exponential form is:

62122 = 21 × 891 × 3491

Prime Factorization of 62139

Prime factors of 62139 are 3, 7, 11, 269. Prime factorization of 62139 in exponential form is:

62139 = 31 × 71 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 62122 and 62139.

LCM(62122,62139) = 21 × 891 × 3491 × 31 × 71 × 111 × 2691
LCM(62122,62139) = 3860198958