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What is the Least Common Multiple of 21020 and 21036?

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 21020 and 21036 is 110544180.

LCM(21020,21036) = 110544180

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Least Common Multiple of 21020 and 21036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21020 and 21036, than apply into the LCM equation.

GCF(21020,21036) = 4
LCM(21020,21036) = ( 21020 × 21036) / 4
LCM(21020,21036) = 442176720 / 4
LCM(21020,21036) = 110544180

Least Common Multiple (LCM) of 21020 and 21036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21020 and 21036. First we will calculate the prime factors of 21020 and 21036.

Prime Factorization of 21020

Prime factors of 21020 are 2, 5, 1051. Prime factorization of 21020 in exponential form is:

21020 = 22 × 51 × 10511

Prime Factorization of 21036

Prime factors of 21036 are 2, 3, 1753. Prime factorization of 21036 in exponential form is:

21036 = 22 × 31 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 21020 and 21036.

LCM(21020,21036) = 22 × 51 × 10511 × 31 × 17531
LCM(21020,21036) = 110544180