What is the Least Common Multiple of 47795 and 47801?
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 47795 and 47801 is 2284648795.
LCM(47795,47801) = 2284648795
Least Common Multiple of 47795 and 47801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47795 and 47801, than apply into the LCM equation.
GCF(47795,47801) = 1
LCM(47795,47801) = ( 47795 × 47801) / 1
LCM(47795,47801) = 2284648795 / 1
LCM(47795,47801) = 2284648795
Least Common Multiple (LCM) of 47795 and 47801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47795 and 47801. First we will calculate the prime factors of 47795 and 47801.
Prime Factorization of 47795
Prime factors of 47795 are 5, 11, 79. Prime factorization of 47795 in exponential form is:
47795 = 51 × 112 × 791
Prime Factorization of 47801
Prime factors of 47801 are 13, 3677. Prime factorization of 47801 in exponential form is:
47801 = 131 × 36771
Now multiplying the highest exponent prime factors to calculate the LCM of 47795 and 47801.
LCM(47795,47801) = 51 × 112 × 791 × 131 × 36771
LCM(47795,47801) = 2284648795
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