What is the Least Common Multiple of 30796 and 30801?
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 30796 and 30801 is 948547596.
LCM(30796,30801) = 948547596
Least Common Multiple of 30796 and 30801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30796 and 30801, than apply into the LCM equation.
GCF(30796,30801) = 1
LCM(30796,30801) = ( 30796 × 30801) / 1
LCM(30796,30801) = 948547596 / 1
LCM(30796,30801) = 948547596
Least Common Multiple (LCM) of 30796 and 30801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30796 and 30801. First we will calculate the prime factors of 30796 and 30801.
Prime Factorization of 30796
Prime factors of 30796 are 2, 7699. Prime factorization of 30796 in exponential form is:
30796 = 22 × 76991
Prime Factorization of 30801
Prime factors of 30801 are 3, 10267. Prime factorization of 30801 in exponential form is:
30801 = 31 × 102671
Now multiplying the highest exponent prime factors to calculate the LCM of 30796 and 30801.
LCM(30796,30801) = 22 × 76991 × 31 × 102671
LCM(30796,30801) = 948547596
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