What is the Least Common Multiple of 4432 and 4443?
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 4432 and 4443 is 19691376.
LCM(4432,4443) = 19691376
Least Common Multiple of 4432 and 4443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4432 and 4443, than apply into the LCM equation.
GCF(4432,4443) = 1
LCM(4432,4443) = ( 4432 × 4443) / 1
LCM(4432,4443) = 19691376 / 1
LCM(4432,4443) = 19691376
Least Common Multiple (LCM) of 4432 and 4443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4432 and 4443. First we will calculate the prime factors of 4432 and 4443.
Prime Factorization of 4432
Prime factors of 4432 are 2, 277. Prime factorization of 4432 in exponential form is:
4432 = 24 × 2771
Prime Factorization of 4443
Prime factors of 4443 are 3, 1481. Prime factorization of 4443 in exponential form is:
4443 = 31 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 4432 and 4443.
LCM(4432,4443) = 24 × 2771 × 31 × 14811
LCM(4432,4443) = 19691376
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