What is the Least Common Multiple of 929 and 943?
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 943 is 876047.
LCM(929,943) = 876047
Least Common Multiple of 929 and 943 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 943, than apply into the LCM equation.
GCF(929,943) = 1
LCM(929,943) = ( 929 × 943) / 1
LCM(929,943) = 876047 / 1
LCM(929,943) = 876047
Least Common Multiple (LCM) of 929 and 943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 943. First we will calculate the prime factors of 929 and 943.
Prime Factorization of 929
Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:
929 = 9291
Prime Factorization of 943
Prime factors of 943 are 23, 41. Prime factorization of 943 in exponential form is:
943 = 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 943.
LCM(929,943) = 9291 × 231 × 411
LCM(929,943) = 876047
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