What is the Least Common Multiple of 47273 and 47293?
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 47273 and 47293 is 2235681989.
LCM(47273,47293) = 2235681989
Least Common Multiple of 47273 and 47293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47273 and 47293, than apply into the LCM equation.
GCF(47273,47293) = 1
LCM(47273,47293) = ( 47273 × 47293) / 1
LCM(47273,47293) = 2235681989 / 1
LCM(47273,47293) = 2235681989
Least Common Multiple (LCM) of 47273 and 47293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47273 and 47293. First we will calculate the prime factors of 47273 and 47293.
Prime Factorization of 47273
Prime factors of 47273 are 41, 1153. Prime factorization of 47273 in exponential form is:
47273 = 411 × 11531
Prime Factorization of 47293
Prime factors of 47293 are 47293. Prime factorization of 47293 in exponential form is:
47293 = 472931
Now multiplying the highest exponent prime factors to calculate the LCM of 47273 and 47293.
LCM(47273,47293) = 411 × 11531 × 472931
LCM(47273,47293) = 2235681989
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