What is the Least Common Multiple of 93448 and 93459?
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 93448 and 93459 is 8733556632.
LCM(93448,93459) = 8733556632
Least Common Multiple of 93448 and 93459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93448 and 93459, than apply into the LCM equation.
GCF(93448,93459) = 1
LCM(93448,93459) = ( 93448 × 93459) / 1
LCM(93448,93459) = 8733556632 / 1
LCM(93448,93459) = 8733556632
Least Common Multiple (LCM) of 93448 and 93459 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93448 and 93459. First we will calculate the prime factors of 93448 and 93459.
Prime Factorization of 93448
Prime factors of 93448 are 2, 11681. Prime factorization of 93448 in exponential form is:
93448 = 23 × 116811
Prime Factorization of 93459
Prime factors of 93459 are 3, 31153. Prime factorization of 93459 in exponential form is:
93459 = 31 × 311531
Now multiplying the highest exponent prime factors to calculate the LCM of 93448 and 93459.
LCM(93448,93459) = 23 × 116811 × 31 × 311531
LCM(93448,93459) = 8733556632
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