What is the Least Common Multiple of 4424 and 4432?
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 4424 and 4432 is 2450896.
LCM(4424,4432) = 2450896
Least Common Multiple of 4424 and 4432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4424 and 4432, than apply into the LCM equation.
GCF(4424,4432) = 8
LCM(4424,4432) = ( 4424 × 4432) / 8
LCM(4424,4432) = 19607168 / 8
LCM(4424,4432) = 2450896
Least Common Multiple (LCM) of 4424 and 4432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4432. First we will calculate the prime factors of 4424 and 4432.
Prime Factorization of 4424
Prime factors of 4424 are 2, 7, 79. Prime factorization of 4424 in exponential form is:
4424 = 23 × 71 × 791
Prime Factorization of 4432
Prime factors of 4432 are 2, 277. Prime factorization of 4432 in exponential form is:
4432 = 24 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4432.
LCM(4424,4432) = 24 × 71 × 791 × 2771
LCM(4424,4432) = 2450896
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