What is the Least Common Multiple of 4379 and 4393?
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 4379 and 4393 is 19236947.
LCM(4379,4393) = 19236947
Least Common Multiple of 4379 and 4393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4379 and 4393, than apply into the LCM equation.
GCF(4379,4393) = 1
LCM(4379,4393) = ( 4379 × 4393) / 1
LCM(4379,4393) = 19236947 / 1
LCM(4379,4393) = 19236947
Least Common Multiple (LCM) of 4379 and 4393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4379 and 4393. First we will calculate the prime factors of 4379 and 4393.
Prime Factorization of 4379
Prime factors of 4379 are 29, 151. Prime factorization of 4379 in exponential form is:
4379 = 291 × 1511
Prime Factorization of 4393
Prime factors of 4393 are 23, 191. Prime factorization of 4393 in exponential form is:
4393 = 231 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 4379 and 4393.
LCM(4379,4393) = 291 × 1511 × 231 × 1911
LCM(4379,4393) = 19236947
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