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What is the Least Common Multiple of 30799 and 30816?

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 30799 and 30816 is 949101984.

LCM(30799,30816) = 949101984

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Least Common Multiple of 30799 and 30816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30799 and 30816, than apply into the LCM equation.

GCF(30799,30816) = 1
LCM(30799,30816) = ( 30799 × 30816) / 1
LCM(30799,30816) = 949101984 / 1
LCM(30799,30816) = 949101984

Least Common Multiple (LCM) of 30799 and 30816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30799 and 30816. First we will calculate the prime factors of 30799 and 30816.

Prime Factorization of 30799

Prime factors of 30799 are 19, 1621. Prime factorization of 30799 in exponential form is:

30799 = 191 × 16211

Prime Factorization of 30816

Prime factors of 30816 are 2, 3, 107. Prime factorization of 30816 in exponential form is:

30816 = 25 × 32 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 30799 and 30816.

LCM(30799,30816) = 191 × 16211 × 25 × 32 × 1071
LCM(30799,30816) = 949101984