What is the Least Common Multiple of 880 and 896?
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 880 and 896 is 49280.
LCM(880,896) = 49280
Least Common Multiple of 880 and 896 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 880 and 896, than apply into the LCM equation.
GCF(880,896) = 16
LCM(880,896) = ( 880 × 896) / 16
LCM(880,896) = 788480 / 16
LCM(880,896) = 49280
Least Common Multiple (LCM) of 880 and 896 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 880 and 896. First we will calculate the prime factors of 880 and 896.
Prime Factorization of 880
Prime factors of 880 are 2, 5, 11. Prime factorization of 880 in exponential form is:
880 = 24 × 51 × 111
Prime Factorization of 896
Prime factors of 896 are 2, 7. Prime factorization of 896 in exponential form is:
896 = 27 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 880 and 896.
LCM(880,896) = 27 × 51 × 111 × 71
LCM(880,896) = 49280
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