What is the Least Common Multiple of 4393 and 4399?
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 4393 and 4399 is 19324807.
LCM(4393,4399) = 19324807
Least Common Multiple of 4393 and 4399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4393 and 4399, than apply into the LCM equation.
GCF(4393,4399) = 1
LCM(4393,4399) = ( 4393 × 4399) / 1
LCM(4393,4399) = 19324807 / 1
LCM(4393,4399) = 19324807
Least Common Multiple (LCM) of 4393 and 4399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4393 and 4399. First we will calculate the prime factors of 4393 and 4399.
Prime Factorization of 4393
Prime factors of 4393 are 23, 191. Prime factorization of 4393 in exponential form is:
4393 = 231 × 1911
Prime Factorization of 4399
Prime factors of 4399 are 53, 83. Prime factorization of 4399 in exponential form is:
4399 = 531 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 4393 and 4399.
LCM(4393,4399) = 231 × 1911 × 531 × 831
LCM(4393,4399) = 19324807
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