What is the Least Common Multiple of 914 and 929?
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 914 and 929 is 849106.
LCM(914,929) = 849106
Least Common Multiple of 914 and 929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 914 and 929, than apply into the LCM equation.
GCF(914,929) = 1
LCM(914,929) = ( 914 × 929) / 1
LCM(914,929) = 849106 / 1
LCM(914,929) = 849106
Least Common Multiple (LCM) of 914 and 929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 914 and 929. First we will calculate the prime factors of 914 and 929.
Prime Factorization of 914
Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:
914 = 21 × 4571
Prime Factorization of 929
Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:
929 = 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 914 and 929.
LCM(914,929) = 21 × 4571 × 9291
LCM(914,929) = 849106
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