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What is the Least Common Multiple of 88847 and 88860?

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 88847 and 88860 is 7894944420.

LCM(88847,88860) = 7894944420

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Least Common Multiple of 88847 and 88860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88847 and 88860, than apply into the LCM equation.

GCF(88847,88860) = 1
LCM(88847,88860) = ( 88847 × 88860) / 1
LCM(88847,88860) = 7894944420 / 1
LCM(88847,88860) = 7894944420

Least Common Multiple (LCM) of 88847 and 88860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88847 and 88860. First we will calculate the prime factors of 88847 and 88860.

Prime Factorization of 88847

Prime factors of 88847 are 11, 41, 197. Prime factorization of 88847 in exponential form is:

88847 = 111 × 411 × 1971

Prime Factorization of 88860

Prime factors of 88860 are 2, 3, 5, 1481. Prime factorization of 88860 in exponential form is:

88860 = 22 × 31 × 51 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 88847 and 88860.

LCM(88847,88860) = 111 × 411 × 1971 × 22 × 31 × 51 × 14811
LCM(88847,88860) = 7894944420