What is the Least Common Multiple of 4379 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 4379 and 4385 is 19201915.
LCM(4379,4385) = 19201915
Least Common Multiple of 4379 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 4379 and 4385, than apply into the LCM equation.
GCF(4379,4385) = 1
LCM(4379,4385) = ( 4379 × 4385) / 1
LCM(4379,4385) = 19201915 / 1
LCM(4379,4385) = 19201915
Least Common Multiple (LCM) of 4379 and 4385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4379 and 4385. First we will calculate the prime factors of 4379 and 4385.
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 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 4379 and 4385.
LCM(4379,4385) = 291 × 1511 × 51 × 8771
LCM(4379,4385) = 19201915
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