What is the Least Common Multiple of 9437 and 9442?
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 9437 and 9442 is 89104154.
LCM(9437,9442) = 89104154
Least Common Multiple of 9437 and 9442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9437 and 9442, than apply into the LCM equation.
GCF(9437,9442) = 1
LCM(9437,9442) = ( 9437 × 9442) / 1
LCM(9437,9442) = 89104154 / 1
LCM(9437,9442) = 89104154
Least Common Multiple (LCM) of 9437 and 9442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9442. First we will calculate the prime factors of 9437 and 9442.
Prime Factorization of 9437
Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:
9437 = 94371
Prime Factorization of 9442
Prime factors of 9442 are 2, 4721. Prime factorization of 9442 in exponential form is:
9442 = 21 × 47211
Now multiplying the highest exponent prime factors to calculate the LCM of 9437 and 9442.
LCM(9437,9442) = 94371 × 21 × 47211
LCM(9437,9442) = 89104154
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