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What is the Least Common Multiple of 4065 and 4082?

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 4065 and 4082 is 16593330.

LCM(4065,4082) = 16593330

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Least Common Multiple of 4065 and 4082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4065 and 4082, than apply into the LCM equation.

GCF(4065,4082) = 1
LCM(4065,4082) = ( 4065 × 4082) / 1
LCM(4065,4082) = 16593330 / 1
LCM(4065,4082) = 16593330

Least Common Multiple (LCM) of 4065 and 4082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4082. First we will calculate the prime factors of 4065 and 4082.

Prime Factorization of 4065

Prime factors of 4065 are 3, 5, 271. Prime factorization of 4065 in exponential form is:

4065 = 31 × 51 × 2711

Prime Factorization of 4082

Prime factors of 4082 are 2, 13, 157. Prime factorization of 4082 in exponential form is:

4082 = 21 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4082.

LCM(4065,4082) = 31 × 51 × 2711 × 21 × 131 × 1571
LCM(4065,4082) = 16593330