What is the Least Common Multiple of 47997 and 48005?
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 47997 and 48005 is 2304095985.
LCM(47997,48005) = 2304095985
Least Common Multiple of 47997 and 48005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47997 and 48005, than apply into the LCM equation.
GCF(47997,48005) = 1
LCM(47997,48005) = ( 47997 × 48005) / 1
LCM(47997,48005) = 2304095985 / 1
LCM(47997,48005) = 2304095985
Least Common Multiple (LCM) of 47997 and 48005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47997 and 48005. First we will calculate the prime factors of 47997 and 48005.
Prime Factorization of 47997
Prime factors of 47997 are 3, 5333. Prime factorization of 47997 in exponential form is:
47997 = 32 × 53331
Prime Factorization of 48005
Prime factors of 48005 are 5, 9601. Prime factorization of 48005 in exponential form is:
48005 = 51 × 96011
Now multiplying the highest exponent prime factors to calculate the LCM of 47997 and 48005.
LCM(47997,48005) = 32 × 53331 × 51 × 96011
LCM(47997,48005) = 2304095985
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