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What is the Least Common Multiple of 88699 and 88707?

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 88699 and 88707 is 7868222193.

LCM(88699,88707) = 7868222193

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Least Common Multiple of 88699 and 88707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88699 and 88707, than apply into the LCM equation.

GCF(88699,88707) = 1
LCM(88699,88707) = ( 88699 × 88707) / 1
LCM(88699,88707) = 7868222193 / 1
LCM(88699,88707) = 7868222193

Least Common Multiple (LCM) of 88699 and 88707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88699 and 88707. First we will calculate the prime factors of 88699 and 88707.

Prime Factorization of 88699

Prime factors of 88699 are 13, 6823. Prime factorization of 88699 in exponential form is:

88699 = 131 × 68231

Prime Factorization of 88707

Prime factors of 88707 are 3, 29569. Prime factorization of 88707 in exponential form is:

88707 = 31 × 295691

Now multiplying the highest exponent prime factors to calculate the LCM of 88699 and 88707.

LCM(88699,88707) = 131 × 68231 × 31 × 295691
LCM(88699,88707) = 7868222193