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What is the Least Common Multiple of 88874 and 88881?

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 88874 and 88881 is 7899209994.

LCM(88874,88881) = 7899209994

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Least Common Multiple of 88874 and 88881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88874 and 88881, than apply into the LCM equation.

GCF(88874,88881) = 1
LCM(88874,88881) = ( 88874 × 88881) / 1
LCM(88874,88881) = 7899209994 / 1
LCM(88874,88881) = 7899209994

Least Common Multiple (LCM) of 88874 and 88881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88874 and 88881. First we will calculate the prime factors of 88874 and 88881.

Prime Factorization of 88874

Prime factors of 88874 are 2, 37, 1201. Prime factorization of 88874 in exponential form is:

88874 = 21 × 371 × 12011

Prime Factorization of 88881

Prime factors of 88881 are 3, 13, 43, 53. Prime factorization of 88881 in exponential form is:

88881 = 31 × 131 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 88874 and 88881.

LCM(88874,88881) = 21 × 371 × 12011 × 31 × 131 × 431 × 531
LCM(88874,88881) = 7899209994