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What is the Least Common Multiple of 88081 and 88098?

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 88081 and 88098 is 7759759938.

LCM(88081,88098) = 7759759938

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Least Common Multiple of 88081 and 88098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88081 and 88098, than apply into the LCM equation.

GCF(88081,88098) = 1
LCM(88081,88098) = ( 88081 × 88098) / 1
LCM(88081,88098) = 7759759938 / 1
LCM(88081,88098) = 7759759938

Least Common Multiple (LCM) of 88081 and 88098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88081 and 88098. First we will calculate the prime factors of 88081 and 88098.

Prime Factorization of 88081

Prime factors of 88081 are 7, 12583. Prime factorization of 88081 in exponential form is:

88081 = 71 × 125831

Prime Factorization of 88098

Prime factors of 88098 are 2, 3, 14683. Prime factorization of 88098 in exponential form is:

88098 = 21 × 31 × 146831

Now multiplying the highest exponent prime factors to calculate the LCM of 88081 and 88098.

LCM(88081,88098) = 71 × 125831 × 21 × 31 × 146831
LCM(88081,88098) = 7759759938