What is the Least Common Multiple of 4376 and 4388?
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 4376 and 4388 is 4800472.
LCM(4376,4388) = 4800472
Least Common Multiple of 4376 and 4388 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4376 and 4388, than apply into the LCM equation.
GCF(4376,4388) = 4
LCM(4376,4388) = ( 4376 × 4388) / 4
LCM(4376,4388) = 19201888 / 4
LCM(4376,4388) = 4800472
Least Common Multiple (LCM) of 4376 and 4388 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4376 and 4388. First we will calculate the prime factors of 4376 and 4388.
Prime Factorization of 4376
Prime factors of 4376 are 2, 547. Prime factorization of 4376 in exponential form is:
4376 = 23 × 5471
Prime Factorization of 4388
Prime factors of 4388 are 2, 1097. Prime factorization of 4388 in exponential form is:
4388 = 22 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 4376 and 4388.
LCM(4376,4388) = 23 × 5471 × 10971
LCM(4376,4388) = 4800472
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