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What is the Least Common Multiple of 89679 and 89683?

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 89679 and 89683 is 8042681757.

LCM(89679,89683) = 8042681757

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Least Common Multiple of 89679 and 89683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89679 and 89683, than apply into the LCM equation.

GCF(89679,89683) = 1
LCM(89679,89683) = ( 89679 × 89683) / 1
LCM(89679,89683) = 8042681757 / 1
LCM(89679,89683) = 8042681757

Least Common Multiple (LCM) of 89679 and 89683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89679 and 89683. First we will calculate the prime factors of 89679 and 89683.

Prime Factorization of 89679

Prime factors of 89679 are 3, 167, 179. Prime factorization of 89679 in exponential form is:

89679 = 31 × 1671 × 1791

Prime Factorization of 89683

Prime factors of 89683 are 11, 31, 263. Prime factorization of 89683 in exponential form is:

89683 = 111 × 311 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 89679 and 89683.

LCM(89679,89683) = 31 × 1671 × 1791 × 111 × 311 × 2631
LCM(89679,89683) = 8042681757