What is the Least Common Multiple of 883 and 902?
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 883 and 902 is 796466.
LCM(883,902) = 796466
Least Common Multiple of 883 and 902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 883 and 902, than apply into the LCM equation.
GCF(883,902) = 1
LCM(883,902) = ( 883 × 902) / 1
LCM(883,902) = 796466 / 1
LCM(883,902) = 796466
Least Common Multiple (LCM) of 883 and 902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 902. First we will calculate the prime factors of 883 and 902.
Prime Factorization of 883
Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:
883 = 8831
Prime Factorization of 902
Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:
902 = 21 × 111 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 902.
LCM(883,902) = 8831 × 21 × 111 × 411
LCM(883,902) = 796466
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