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What is the Least Common Multiple of 1878 and 1888?

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 1878 and 1888 is 1772832.

LCM(1878,1888) = 1772832

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Least Common Multiple of 1878 and 1888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1878 and 1888, than apply into the LCM equation.

GCF(1878,1888) = 2
LCM(1878,1888) = ( 1878 × 1888) / 2
LCM(1878,1888) = 3545664 / 2
LCM(1878,1888) = 1772832

Least Common Multiple (LCM) of 1878 and 1888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1878 and 1888. First we will calculate the prime factors of 1878 and 1888.

Prime Factorization of 1878

Prime factors of 1878 are 2, 3, 313. Prime factorization of 1878 in exponential form is:

1878 = 21 × 31 × 3131

Prime Factorization of 1888

Prime factors of 1888 are 2, 59. Prime factorization of 1888 in exponential form is:

1888 = 25 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1878 and 1888.

LCM(1878,1888) = 25 × 31 × 3131 × 591
LCM(1878,1888) = 1772832