What is the Least Common Multiple of 844 and 848?
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 844 and 848 is 178928.
LCM(844,848) = 178928
Least Common Multiple of 844 and 848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 844 and 848, than apply into the LCM equation.
GCF(844,848) = 4
LCM(844,848) = ( 844 × 848) / 4
LCM(844,848) = 715712 / 4
LCM(844,848) = 178928
Least Common Multiple (LCM) of 844 and 848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 844 and 848. First we will calculate the prime factors of 844 and 848.
Prime Factorization of 844
Prime factors of 844 are 2, 211. Prime factorization of 844 in exponential form is:
844 = 22 × 2111
Prime Factorization of 848
Prime factors of 848 are 2, 53. Prime factorization of 848 in exponential form is:
848 = 24 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 844 and 848.
LCM(844,848) = 24 × 2111 × 531
LCM(844,848) = 178928
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