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What is the Least Common Multiple of 2078 and 2087?

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 2078 and 2087 is 4336786.

LCM(2078,2087) = 4336786

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Least Common Multiple of 2078 and 2087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2078 and 2087, than apply into the LCM equation.

GCF(2078,2087) = 1
LCM(2078,2087) = ( 2078 × 2087) / 1
LCM(2078,2087) = 4336786 / 1
LCM(2078,2087) = 4336786

Least Common Multiple (LCM) of 2078 and 2087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2078 and 2087. First we will calculate the prime factors of 2078 and 2087.

Prime Factorization of 2078

Prime factors of 2078 are 2, 1039. Prime factorization of 2078 in exponential form is:

2078 = 21 × 10391

Prime Factorization of 2087

Prime factors of 2087 are 2087. Prime factorization of 2087 in exponential form is:

2087 = 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 2078 and 2087.

LCM(2078,2087) = 21 × 10391 × 20871
LCM(2078,2087) = 4336786