What is the Least Common Multiple of 929 and 934?
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 929 and 934 is 867686.
LCM(929,934) = 867686
Least Common Multiple of 929 and 934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 929 and 934, than apply into the LCM equation.
GCF(929,934) = 1
LCM(929,934) = ( 929 × 934) / 1
LCM(929,934) = 867686 / 1
LCM(929,934) = 867686
Least Common Multiple (LCM) of 929 and 934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 934. First we will calculate the prime factors of 929 and 934.
Prime Factorization of 929
Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:
929 = 9291
Prime Factorization of 934
Prime factors of 934 are 2, 467. Prime factorization of 934 in exponential form is:
934 = 21 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 934.
LCM(929,934) = 9291 × 21 × 4671
LCM(929,934) = 867686
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