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What is the Least Common Multiple of 88546 and 88551?

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 88546 and 88551 is 7840836846.

LCM(88546,88551) = 7840836846

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Least Common Multiple of 88546 and 88551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88546 and 88551, than apply into the LCM equation.

GCF(88546,88551) = 1
LCM(88546,88551) = ( 88546 × 88551) / 1
LCM(88546,88551) = 7840836846 / 1
LCM(88546,88551) = 7840836846

Least Common Multiple (LCM) of 88546 and 88551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88546 and 88551. First we will calculate the prime factors of 88546 and 88551.

Prime Factorization of 88546

Prime factors of 88546 are 2, 44273. Prime factorization of 88546 in exponential form is:

88546 = 21 × 442731

Prime Factorization of 88551

Prime factors of 88551 are 3, 9839. Prime factorization of 88551 in exponential form is:

88551 = 32 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 88546 and 88551.

LCM(88546,88551) = 21 × 442731 × 32 × 98391
LCM(88546,88551) = 7840836846