What is the Least Common Multiple of 24911 and 24929?
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 24911 and 24929 is 621006319.
LCM(24911,24929) = 621006319
Least Common Multiple of 24911 and 24929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24911 and 24929, than apply into the LCM equation.
GCF(24911,24929) = 1
LCM(24911,24929) = ( 24911 × 24929) / 1
LCM(24911,24929) = 621006319 / 1
LCM(24911,24929) = 621006319
Least Common Multiple (LCM) of 24911 and 24929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24911 and 24929. First we will calculate the prime factors of 24911 and 24929.
Prime Factorization of 24911
Prime factors of 24911 are 29, 859. Prime factorization of 24911 in exponential form is:
24911 = 291 × 8591
Prime Factorization of 24929
Prime factors of 24929 are 97, 257. Prime factorization of 24929 in exponential form is:
24929 = 971 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 24911 and 24929.
LCM(24911,24929) = 291 × 8591 × 971 × 2571
LCM(24911,24929) = 621006319
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