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What is the Least Common Multiple of 88077 and 88081?

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 88077 and 88081 is 7757910237.

LCM(88077,88081) = 7757910237

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Least Common Multiple of 88077 and 88081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88077 and 88081, than apply into the LCM equation.

GCF(88077,88081) = 1
LCM(88077,88081) = ( 88077 × 88081) / 1
LCM(88077,88081) = 7757910237 / 1
LCM(88077,88081) = 7757910237

Least Common Multiple (LCM) of 88077 and 88081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88077 and 88081. First we will calculate the prime factors of 88077 and 88081.

Prime Factorization of 88077

Prime factors of 88077 are 3, 11, 17, 157. Prime factorization of 88077 in exponential form is:

88077 = 31 × 111 × 171 × 1571

Prime Factorization of 88081

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

88081 = 71 × 125831

Now multiplying the highest exponent prime factors to calculate the LCM of 88077 and 88081.

LCM(88077,88081) = 31 × 111 × 171 × 1571 × 71 × 125831
LCM(88077,88081) = 7757910237