What is the Least Common Multiple of 824 and 833?
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 824 and 833 is 686392.
LCM(824,833) = 686392
Least Common Multiple of 824 and 833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 824 and 833, than apply into the LCM equation.
GCF(824,833) = 1
LCM(824,833) = ( 824 × 833) / 1
LCM(824,833) = 686392 / 1
LCM(824,833) = 686392
Least Common Multiple (LCM) of 824 and 833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 824 and 833. First we will calculate the prime factors of 824 and 833.
Prime Factorization of 824
Prime factors of 824 are 2, 103. Prime factorization of 824 in exponential form is:
824 = 23 × 1031
Prime Factorization of 833
Prime factors of 833 are 7, 17. Prime factorization of 833 in exponential form is:
833 = 72 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 824 and 833.
LCM(824,833) = 23 × 1031 × 72 × 171
LCM(824,833) = 686392
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