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What is the Least Common Multiple of 88877 and 88893?

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 88877 and 88893 is 7900543161.

LCM(88877,88893) = 7900543161

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Least Common Multiple of 88877 and 88893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88877 and 88893, than apply into the LCM equation.

GCF(88877,88893) = 1
LCM(88877,88893) = ( 88877 × 88893) / 1
LCM(88877,88893) = 7900543161 / 1
LCM(88877,88893) = 7900543161

Least Common Multiple (LCM) of 88877 and 88893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88877 and 88893. First we will calculate the prime factors of 88877 and 88893.

Prime Factorization of 88877

Prime factors of 88877 are 31, 47, 61. Prime factorization of 88877 in exponential form is:

88877 = 311 × 471 × 611

Prime Factorization of 88893

Prime factors of 88893 are 3, 7, 17, 83. Prime factorization of 88893 in exponential form is:

88893 = 32 × 71 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 88877 and 88893.

LCM(88877,88893) = 311 × 471 × 611 × 32 × 71 × 171 × 831
LCM(88877,88893) = 7900543161