What is the Least Common Multiple of 4374 and 4391?
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 4374 and 4391 is 19206234.
LCM(4374,4391) = 19206234
Least Common Multiple of 4374 and 4391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4374 and 4391, than apply into the LCM equation.
GCF(4374,4391) = 1
LCM(4374,4391) = ( 4374 × 4391) / 1
LCM(4374,4391) = 19206234 / 1
LCM(4374,4391) = 19206234
Least Common Multiple (LCM) of 4374 and 4391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4391. First we will calculate the prime factors of 4374 and 4391.
Prime Factorization of 4374
Prime factors of 4374 are 2, 3. Prime factorization of 4374 in exponential form is:
4374 = 21 × 37
Prime Factorization of 4391
Prime factors of 4391 are 4391. Prime factorization of 4391 in exponential form is:
4391 = 43911
Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4391.
LCM(4374,4391) = 21 × 37 × 43911
LCM(4374,4391) = 19206234
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