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What is the Least Common Multiple of 87663 and 87683?

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 87663 and 87683 is 7686554829.

LCM(87663,87683) = 7686554829

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Least Common Multiple of 87663 and 87683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87663 and 87683, than apply into the LCM equation.

GCF(87663,87683) = 1
LCM(87663,87683) = ( 87663 × 87683) / 1
LCM(87663,87683) = 7686554829 / 1
LCM(87663,87683) = 7686554829

Least Common Multiple (LCM) of 87663 and 87683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87663 and 87683. First we will calculate the prime factors of 87663 and 87683.

Prime Factorization of 87663

Prime factors of 87663 are 3, 29221. Prime factorization of 87663 in exponential form is:

87663 = 31 × 292211

Prime Factorization of 87683

Prime factors of 87683 are 87683. Prime factorization of 87683 in exponential form is:

87683 = 876831

Now multiplying the highest exponent prime factors to calculate the LCM of 87663 and 87683.

LCM(87663,87683) = 31 × 292211 × 876831
LCM(87663,87683) = 7686554829