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What is the Least Common Multiple of 88285 and 88301?

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 88285 and 88301 is 7795653785.

LCM(88285,88301) = 7795653785

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Least Common Multiple of 88285 and 88301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88285 and 88301, than apply into the LCM equation.

GCF(88285,88301) = 1
LCM(88285,88301) = ( 88285 × 88301) / 1
LCM(88285,88301) = 7795653785 / 1
LCM(88285,88301) = 7795653785

Least Common Multiple (LCM) of 88285 and 88301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88285 and 88301. First we will calculate the prime factors of 88285 and 88301.

Prime Factorization of 88285

Prime factors of 88285 are 5, 17657. Prime factorization of 88285 in exponential form is:

88285 = 51 × 176571

Prime Factorization of 88301

Prime factors of 88301 are 88301. Prime factorization of 88301 in exponential form is:

88301 = 883011

Now multiplying the highest exponent prime factors to calculate the LCM of 88285 and 88301.

LCM(88285,88301) = 51 × 176571 × 883011
LCM(88285,88301) = 7795653785