What is the Least Common Multiple of 47337 and 47342?
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 47337 and 47342 is 2241028254.
LCM(47337,47342) = 2241028254
Least Common Multiple of 47337 and 47342 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47337 and 47342, than apply into the LCM equation.
GCF(47337,47342) = 1
LCM(47337,47342) = ( 47337 × 47342) / 1
LCM(47337,47342) = 2241028254 / 1
LCM(47337,47342) = 2241028254
Least Common Multiple (LCM) of 47337 and 47342 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47337 and 47342. First we will calculate the prime factors of 47337 and 47342.
Prime Factorization of 47337
Prime factors of 47337 are 3, 31, 509. Prime factorization of 47337 in exponential form is:
47337 = 31 × 311 × 5091
Prime Factorization of 47342
Prime factors of 47342 are 2, 23671. Prime factorization of 47342 in exponential form is:
47342 = 21 × 236711
Now multiplying the highest exponent prime factors to calculate the LCM of 47337 and 47342.
LCM(47337,47342) = 31 × 311 × 5091 × 21 × 236711
LCM(47337,47342) = 2241028254
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