What is the Least Common Multiple of 4388 and 4392?
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 4388 and 4392 is 4818024.
LCM(4388,4392) = 4818024
Least Common Multiple of 4388 and 4392 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4388 and 4392, than apply into the LCM equation.
GCF(4388,4392) = 4
LCM(4388,4392) = ( 4388 × 4392) / 4
LCM(4388,4392) = 19272096 / 4
LCM(4388,4392) = 4818024
Least Common Multiple (LCM) of 4388 and 4392 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4388 and 4392. First we will calculate the prime factors of 4388 and 4392.
Prime Factorization of 4388
Prime factors of 4388 are 2, 1097. Prime factorization of 4388 in exponential form is:
4388 = 22 × 10971
Prime Factorization of 4392
Prime factors of 4392 are 2, 3, 61. Prime factorization of 4392 in exponential form is:
4392 = 23 × 32 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4392.
LCM(4388,4392) = 23 × 10971 × 32 × 611
LCM(4388,4392) = 4818024
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