What is the Least Common Multiple of 41924 and 41929?
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 41924 and 41929 is 1757831396.
LCM(41924,41929) = 1757831396
Least Common Multiple of 41924 and 41929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41924 and 41929, than apply into the LCM equation.
GCF(41924,41929) = 1
LCM(41924,41929) = ( 41924 × 41929) / 1
LCM(41924,41929) = 1757831396 / 1
LCM(41924,41929) = 1757831396
Least Common Multiple (LCM) of 41924 and 41929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41924 and 41929. First we will calculate the prime factors of 41924 and 41929.
Prime Factorization of 41924
Prime factors of 41924 are 2, 47, 223. Prime factorization of 41924 in exponential form is:
41924 = 22 × 471 × 2231
Prime Factorization of 41929
Prime factors of 41929 are 23, 1823. Prime factorization of 41929 in exponential form is:
41929 = 231 × 18231
Now multiplying the highest exponent prime factors to calculate the LCM of 41924 and 41929.
LCM(41924,41929) = 22 × 471 × 2231 × 231 × 18231
LCM(41924,41929) = 1757831396
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