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What is the Least Common Multiple of 80888 and 80899?

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 80888 and 80899 is 6543758312.

LCM(80888,80899) = 6543758312

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Least Common Multiple of 80888 and 80899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80888 and 80899, than apply into the LCM equation.

GCF(80888,80899) = 1
LCM(80888,80899) = ( 80888 × 80899) / 1
LCM(80888,80899) = 6543758312 / 1
LCM(80888,80899) = 6543758312

Least Common Multiple (LCM) of 80888 and 80899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80888 and 80899. First we will calculate the prime factors of 80888 and 80899.

Prime Factorization of 80888

Prime factors of 80888 are 2, 10111. Prime factorization of 80888 in exponential form is:

80888 = 23 × 101111

Prime Factorization of 80899

Prime factors of 80899 are 7, 13, 127. Prime factorization of 80899 in exponential form is:

80899 = 72 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 80888 and 80899.

LCM(80888,80899) = 23 × 101111 × 72 × 131 × 1271
LCM(80888,80899) = 6543758312