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What is the Least Common Multiple of 2068 and 2077?

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 2068 and 2077 is 4295236.

LCM(2068,2077) = 4295236

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Least Common Multiple of 2068 and 2077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2068 and 2077, than apply into the LCM equation.

GCF(2068,2077) = 1
LCM(2068,2077) = ( 2068 × 2077) / 1
LCM(2068,2077) = 4295236 / 1
LCM(2068,2077) = 4295236

Least Common Multiple (LCM) of 2068 and 2077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2068 and 2077. First we will calculate the prime factors of 2068 and 2077.

Prime Factorization of 2068

Prime factors of 2068 are 2, 11, 47. Prime factorization of 2068 in exponential form is:

2068 = 22 × 111 × 471

Prime Factorization of 2077

Prime factors of 2077 are 31, 67. Prime factorization of 2077 in exponential form is:

2077 = 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2077.

LCM(2068,2077) = 22 × 111 × 471 × 311 × 671
LCM(2068,2077) = 4295236