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What is the Least Common Multiple of 62069 and 62079?

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 62069 and 62079 is 3853181451.

LCM(62069,62079) = 3853181451

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Least Common Multiple of 62069 and 62079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62069 and 62079, than apply into the LCM equation.

GCF(62069,62079) = 1
LCM(62069,62079) = ( 62069 × 62079) / 1
LCM(62069,62079) = 3853181451 / 1
LCM(62069,62079) = 3853181451

Least Common Multiple (LCM) of 62069 and 62079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62069 and 62079. First we will calculate the prime factors of 62069 and 62079.

Prime Factorization of 62069

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

62069 = 71 × 88671

Prime Factorization of 62079

Prime factors of 62079 are 3, 20693. Prime factorization of 62079 in exponential form is:

62079 = 31 × 206931

Now multiplying the highest exponent prime factors to calculate the LCM of 62069 and 62079.

LCM(62069,62079) = 71 × 88671 × 31 × 206931
LCM(62069,62079) = 3853181451