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What is the Least Common Multiple of 6026 and 6033?

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 6026 and 6033 is 36354858.

LCM(6026,6033) = 36354858

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Least Common Multiple of 6026 and 6033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6026 and 6033, than apply into the LCM equation.

GCF(6026,6033) = 1
LCM(6026,6033) = ( 6026 × 6033) / 1
LCM(6026,6033) = 36354858 / 1
LCM(6026,6033) = 36354858

Least Common Multiple (LCM) of 6026 and 6033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6026 and 6033. First we will calculate the prime factors of 6026 and 6033.

Prime Factorization of 6026

Prime factors of 6026 are 2, 23, 131. Prime factorization of 6026 in exponential form is:

6026 = 21 × 231 × 1311

Prime Factorization of 6033

Prime factors of 6033 are 3, 2011. Prime factorization of 6033 in exponential form is:

6033 = 31 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 6026 and 6033.

LCM(6026,6033) = 21 × 231 × 1311 × 31 × 20111
LCM(6026,6033) = 36354858