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What is the Least Common Multiple of 2055 and 2074?

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 2055 and 2074 is 4262070.

LCM(2055,2074) = 4262070

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Least Common Multiple of 2055 and 2074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2055 and 2074, than apply into the LCM equation.

GCF(2055,2074) = 1
LCM(2055,2074) = ( 2055 × 2074) / 1
LCM(2055,2074) = 4262070 / 1
LCM(2055,2074) = 4262070

Least Common Multiple (LCM) of 2055 and 2074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2055 and 2074. First we will calculate the prime factors of 2055 and 2074.

Prime Factorization of 2055

Prime factors of 2055 are 3, 5, 137. Prime factorization of 2055 in exponential form is:

2055 = 31 × 51 × 1371

Prime Factorization of 2074

Prime factors of 2074 are 2, 17, 61. Prime factorization of 2074 in exponential form is:

2074 = 21 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2055 and 2074.

LCM(2055,2074) = 31 × 51 × 1371 × 21 × 171 × 611
LCM(2055,2074) = 4262070