What is the Least Common Multiple of 47203 and 47218?
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 47203 and 47218 is 2228831254.
LCM(47203,47218) = 2228831254
Least Common Multiple of 47203 and 47218 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47203 and 47218, than apply into the LCM equation.
GCF(47203,47218) = 1
LCM(47203,47218) = ( 47203 × 47218) / 1
LCM(47203,47218) = 2228831254 / 1
LCM(47203,47218) = 2228831254
Least Common Multiple (LCM) of 47203 and 47218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47203 and 47218. First we will calculate the prime factors of 47203 and 47218.
Prime Factorization of 47203
Prime factors of 47203 are 13, 3631. Prime factorization of 47203 in exponential form is:
47203 = 131 × 36311
Prime Factorization of 47218
Prime factors of 47218 are 2, 23609. Prime factorization of 47218 in exponential form is:
47218 = 21 × 236091
Now multiplying the highest exponent prime factors to calculate the LCM of 47203 and 47218.
LCM(47203,47218) = 131 × 36311 × 21 × 236091
LCM(47203,47218) = 2228831254
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