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What is the Least Common Multiple of 65020 and 65033?

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 65020 and 65033 is 4228445660.

LCM(65020,65033) = 4228445660

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Least Common Multiple of 65020 and 65033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65020 and 65033, than apply into the LCM equation.

GCF(65020,65033) = 1
LCM(65020,65033) = ( 65020 × 65033) / 1
LCM(65020,65033) = 4228445660 / 1
LCM(65020,65033) = 4228445660

Least Common Multiple (LCM) of 65020 and 65033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65020 and 65033. First we will calculate the prime factors of 65020 and 65033.

Prime Factorization of 65020

Prime factors of 65020 are 2, 5, 3251. Prime factorization of 65020 in exponential form is:

65020 = 22 × 51 × 32511

Prime Factorization of 65033

Prime factors of 65033 are 65033. Prime factorization of 65033 in exponential form is:

65033 = 650331

Now multiplying the highest exponent prime factors to calculate the LCM of 65020 and 65033.

LCM(65020,65033) = 22 × 51 × 32511 × 650331
LCM(65020,65033) = 4228445660