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What is the Least Common Multiple of 6062 and 6073?

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 6062 and 6073 is 36814526.

LCM(6062,6073) = 36814526

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Least Common Multiple of 6062 and 6073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6062 and 6073, than apply into the LCM equation.

GCF(6062,6073) = 1
LCM(6062,6073) = ( 6062 × 6073) / 1
LCM(6062,6073) = 36814526 / 1
LCM(6062,6073) = 36814526

Least Common Multiple (LCM) of 6062 and 6073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6062 and 6073. First we will calculate the prime factors of 6062 and 6073.

Prime Factorization of 6062

Prime factors of 6062 are 2, 7, 433. Prime factorization of 6062 in exponential form is:

6062 = 21 × 71 × 4331

Prime Factorization of 6073

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 6062 and 6073.

LCM(6062,6073) = 21 × 71 × 4331 × 60731
LCM(6062,6073) = 36814526