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What is the Least Common Multiple of 2066 and 2073?

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 2066 and 2073 is 4282818.

LCM(2066,2073) = 4282818

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Least Common Multiple of 2066 and 2073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2066 and 2073, than apply into the LCM equation.

GCF(2066,2073) = 1
LCM(2066,2073) = ( 2066 × 2073) / 1
LCM(2066,2073) = 4282818 / 1
LCM(2066,2073) = 4282818

Least Common Multiple (LCM) of 2066 and 2073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2066 and 2073. First we will calculate the prime factors of 2066 and 2073.

Prime Factorization of 2066

Prime factors of 2066 are 2, 1033. Prime factorization of 2066 in exponential form is:

2066 = 21 × 10331

Prime Factorization of 2073

Prime factors of 2073 are 3, 691. Prime factorization of 2073 in exponential form is:

2073 = 31 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 2066 and 2073.

LCM(2066,2073) = 21 × 10331 × 31 × 6911
LCM(2066,2073) = 4282818