What is the Least Common Multiple of 882 and 899?
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 882 and 899 is 792918.
LCM(882,899) = 792918
Least Common Multiple of 882 and 899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 882 and 899, than apply into the LCM equation.
GCF(882,899) = 1
LCM(882,899) = ( 882 × 899) / 1
LCM(882,899) = 792918 / 1
LCM(882,899) = 792918
Least Common Multiple (LCM) of 882 and 899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 899. First we will calculate the prime factors of 882 and 899.
Prime Factorization of 882
Prime factors of 882 are 2, 3, 7. Prime factorization of 882 in exponential form is:
882 = 21 × 32 × 72
Prime Factorization of 899
Prime factors of 899 are 29, 31. Prime factorization of 899 in exponential form is:
899 = 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 882 and 899.
LCM(882,899) = 21 × 32 × 72 × 291 × 311
LCM(882,899) = 792918
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