What is the Least Common Multiple of 9437 and 9448?
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 9448 is 89160776.
LCM(9437,9448) = 89160776
Least Common Multiple of 9437 and 9448 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 9448, than apply into the LCM equation.
GCF(9437,9448) = 1
LCM(9437,9448) = ( 9437 × 9448) / 1
LCM(9437,9448) = 89160776 / 1
LCM(9437,9448) = 89160776
Least Common Multiple (LCM) of 9437 and 9448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9448. First we will calculate the prime factors of 9437 and 9448.
Prime Factorization of 9437
Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:
9437 = 94371
Prime Factorization of 9448
Prime factors of 9448 are 2, 1181. Prime factorization of 9448 in exponential form is:
9448 = 23 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 9437 and 9448.
LCM(9437,9448) = 94371 × 23 × 11811
LCM(9437,9448) = 89160776
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