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What is the Least Common Multiple of 20062 and 20079?

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 20062 and 20079 is 402824898.

LCM(20062,20079) = 402824898

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Least Common Multiple of 20062 and 20079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20062 and 20079, than apply into the LCM equation.

GCF(20062,20079) = 1
LCM(20062,20079) = ( 20062 × 20079) / 1
LCM(20062,20079) = 402824898 / 1
LCM(20062,20079) = 402824898

Least Common Multiple (LCM) of 20062 and 20079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20062 and 20079. First we will calculate the prime factors of 20062 and 20079.

Prime Factorization of 20062

Prime factors of 20062 are 2, 7, 1433. Prime factorization of 20062 in exponential form is:

20062 = 21 × 71 × 14331

Prime Factorization of 20079

Prime factors of 20079 are 3, 23, 97. Prime factorization of 20079 in exponential form is:

20079 = 32 × 231 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 20062 and 20079.

LCM(20062,20079) = 21 × 71 × 14331 × 32 × 231 × 971
LCM(20062,20079) = 402824898