What is the Least Common Multiple of 9430 and 9437?
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 9430 and 9437 is 88990910.
LCM(9430,9437) = 88990910
Least Common Multiple of 9430 and 9437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9430 and 9437, than apply into the LCM equation.
GCF(9430,9437) = 1
LCM(9430,9437) = ( 9430 × 9437) / 1
LCM(9430,9437) = 88990910 / 1
LCM(9430,9437) = 88990910
Least Common Multiple (LCM) of 9430 and 9437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9437. First we will calculate the prime factors of 9430 and 9437.
Prime Factorization of 9430
Prime factors of 9430 are 2, 5, 23, 41. Prime factorization of 9430 in exponential form is:
9430 = 21 × 51 × 231 × 411
Prime Factorization of 9437
Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:
9437 = 94371
Now multiplying the highest exponent prime factors to calculate the LCM of 9430 and 9437.
LCM(9430,9437) = 21 × 51 × 231 × 411 × 94371
LCM(9430,9437) = 88990910
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