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What is the Least Common Multiple of 8054 and 8059?

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 8054 and 8059 is 64907186.

LCM(8054,8059) = 64907186

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Least Common Multiple of 8054 and 8059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8054 and 8059, than apply into the LCM equation.

GCF(8054,8059) = 1
LCM(8054,8059) = ( 8054 × 8059) / 1
LCM(8054,8059) = 64907186 / 1
LCM(8054,8059) = 64907186

Least Common Multiple (LCM) of 8054 and 8059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8059. First we will calculate the prime factors of 8054 and 8059.

Prime Factorization of 8054

Prime factors of 8054 are 2, 4027. Prime factorization of 8054 in exponential form is:

8054 = 21 × 40271

Prime Factorization of 8059

Prime factors of 8059 are 8059. Prime factorization of 8059 in exponential form is:

8059 = 80591

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8059.

LCM(8054,8059) = 21 × 40271 × 80591
LCM(8054,8059) = 64907186