What is the Least Common Multiple of 424 and 441?
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 424 and 441 is 186984.
LCM(424,441) = 186984
Least Common Multiple of 424 and 441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 441, than apply into the LCM equation.
GCF(424,441) = 1
LCM(424,441) = ( 424 × 441) / 1
LCM(424,441) = 186984 / 1
LCM(424,441) = 186984
Least Common Multiple (LCM) of 424 and 441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 441. First we will calculate the prime factors of 424 and 441.
Prime Factorization of 424
Prime factors of 424 are 2, 53. Prime factorization of 424 in exponential form is:
424 = 23 × 531
Prime Factorization of 441
Prime factors of 441 are 3, 7. Prime factorization of 441 in exponential form is:
441 = 32 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 441.
LCM(424,441) = 23 × 531 × 32 × 72
LCM(424,441) = 186984
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