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What is the Least Common Multiple of 21062 and 21079?

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 21062 and 21079 is 443965898.

LCM(21062,21079) = 443965898

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Least Common Multiple of 21062 and 21079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21062 and 21079, than apply into the LCM equation.

GCF(21062,21079) = 1
LCM(21062,21079) = ( 21062 × 21079) / 1
LCM(21062,21079) = 443965898 / 1
LCM(21062,21079) = 443965898

Least Common Multiple (LCM) of 21062 and 21079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21062 and 21079. First we will calculate the prime factors of 21062 and 21079.

Prime Factorization of 21062

Prime factors of 21062 are 2, 10531. Prime factorization of 21062 in exponential form is:

21062 = 21 × 105311

Prime Factorization of 21079

Prime factors of 21079 are 107, 197. Prime factorization of 21079 in exponential form is:

21079 = 1071 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 21062 and 21079.

LCM(21062,21079) = 21 × 105311 × 1071 × 1971
LCM(21062,21079) = 443965898