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What is the Least Common Multiple of 62061 and 62069?

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 62061 and 62069 is 3852064209.

LCM(62061,62069) = 3852064209

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Least Common Multiple of 62061 and 62069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62061 and 62069, than apply into the LCM equation.

GCF(62061,62069) = 1
LCM(62061,62069) = ( 62061 × 62069) / 1
LCM(62061,62069) = 3852064209 / 1
LCM(62061,62069) = 3852064209

Least Common Multiple (LCM) of 62061 and 62069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62061 and 62069. First we will calculate the prime factors of 62061 and 62069.

Prime Factorization of 62061

Prime factors of 62061 are 3, 137, 151. Prime factorization of 62061 in exponential form is:

62061 = 31 × 1371 × 1511

Prime Factorization of 62069

Prime factors of 62069 are 7, 8867. Prime factorization of 62069 in exponential form is:

62069 = 71 × 88671

Now multiplying the highest exponent prime factors to calculate the LCM of 62061 and 62069.

LCM(62061,62069) = 31 × 1371 × 1511 × 71 × 88671
LCM(62061,62069) = 3852064209