What is the Least Common Multiple of 4368 and 4385?
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 4368 and 4385 is 19153680.
LCM(4368,4385) = 19153680
Least Common Multiple of 4368 and 4385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4368 and 4385, than apply into the LCM equation.
GCF(4368,4385) = 1
LCM(4368,4385) = ( 4368 × 4385) / 1
LCM(4368,4385) = 19153680 / 1
LCM(4368,4385) = 19153680
Least Common Multiple (LCM) of 4368 and 4385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4368 and 4385. First we will calculate the prime factors of 4368 and 4385.
Prime Factorization of 4368
Prime factors of 4368 are 2, 3, 7, 13. Prime factorization of 4368 in exponential form is:
4368 = 24 × 31 × 71 × 131
Prime Factorization of 4385
Prime factors of 4385 are 5, 877. Prime factorization of 4385 in exponential form is:
4385 = 51 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 4368 and 4385.
LCM(4368,4385) = 24 × 31 × 71 × 131 × 51 × 8771
LCM(4368,4385) = 19153680
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