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What is the Least Common Multiple of 88546 and 88555?

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 88555 is 7841191030.

LCM(88546,88555) = 7841191030

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Least Common Multiple of 88546 and 88555 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 88555, than apply into the LCM equation.

GCF(88546,88555) = 1
LCM(88546,88555) = ( 88546 × 88555) / 1
LCM(88546,88555) = 7841191030 / 1
LCM(88546,88555) = 7841191030

Least Common Multiple (LCM) of 88546 and 88555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88546 and 88555. First we will calculate the prime factors of 88546 and 88555.

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 88555

Prime factors of 88555 are 5, 89, 199. Prime factorization of 88555 in exponential form is:

88555 = 51 × 891 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 88546 and 88555.

LCM(88546,88555) = 21 × 442731 × 51 × 891 × 1991
LCM(88546,88555) = 7841191030