What is the Least Common Multiple of 47147 and 47167?
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 47147 and 47167 is 2223782549.
LCM(47147,47167) = 2223782549
Least Common Multiple of 47147 and 47167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47147 and 47167, than apply into the LCM equation.
GCF(47147,47167) = 1
LCM(47147,47167) = ( 47147 × 47167) / 1
LCM(47147,47167) = 2223782549 / 1
LCM(47147,47167) = 2223782549
Least Common Multiple (LCM) of 47147 and 47167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47147 and 47167. First we will calculate the prime factors of 47147 and 47167.
Prime Factorization of 47147
Prime factors of 47147 are 47147. Prime factorization of 47147 in exponential form is:
47147 = 471471
Prime Factorization of 47167
Prime factors of 47167 are 101, 467. Prime factorization of 47167 in exponential form is:
47167 = 1011 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 47147 and 47167.
LCM(47147,47167) = 471471 × 1011 × 4671
LCM(47147,47167) = 2223782549
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