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What is the Least Common Multiple of 52878 and 52888?

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 52878 and 52888 is 1398305832.

LCM(52878,52888) = 1398305832

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Least Common Multiple of 52878 and 52888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52878 and 52888, than apply into the LCM equation.

GCF(52878,52888) = 2
LCM(52878,52888) = ( 52878 × 52888) / 2
LCM(52878,52888) = 2796611664 / 2
LCM(52878,52888) = 1398305832

Least Common Multiple (LCM) of 52878 and 52888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52878 and 52888. First we will calculate the prime factors of 52878 and 52888.

Prime Factorization of 52878

Prime factors of 52878 are 2, 3, 7, 1259. Prime factorization of 52878 in exponential form is:

52878 = 21 × 31 × 71 × 12591

Prime Factorization of 52888

Prime factors of 52888 are 2, 11, 601. Prime factorization of 52888 in exponential form is:

52888 = 23 × 111 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 52878 and 52888.

LCM(52878,52888) = 23 × 31 × 71 × 12591 × 111 × 6011
LCM(52878,52888) = 1398305832