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What is the Least Common Multiple of 2073 and 2079?

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 2073 and 2079 is 1436589.

LCM(2073,2079) = 1436589

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Least Common Multiple of 2073 and 2079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2073 and 2079, than apply into the LCM equation.

GCF(2073,2079) = 3
LCM(2073,2079) = ( 2073 × 2079) / 3
LCM(2073,2079) = 4309767 / 3
LCM(2073,2079) = 1436589

Least Common Multiple (LCM) of 2073 and 2079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2073 and 2079. First we will calculate the prime factors of 2073 and 2079.

Prime Factorization of 2073

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

2073 = 31 × 6911

Prime Factorization of 2079

Prime factors of 2079 are 3, 7, 11. Prime factorization of 2079 in exponential form is:

2079 = 33 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 2073 and 2079.

LCM(2073,2079) = 33 × 6911 × 71 × 111
LCM(2073,2079) = 1436589