What is the Least Common Multiple of 99934 and 99941?
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 99934 and 99941 is 9987503894.
LCM(99934,99941) = 9987503894
Least Common Multiple of 99934 and 99941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99934 and 99941, than apply into the LCM equation.
GCF(99934,99941) = 1
LCM(99934,99941) = ( 99934 × 99941) / 1
LCM(99934,99941) = 9987503894 / 1
LCM(99934,99941) = 9987503894
Least Common Multiple (LCM) of 99934 and 99941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99934 and 99941. First we will calculate the prime factors of 99934 and 99941.
Prime Factorization of 99934
Prime factors of 99934 are 2, 29, 1723. Prime factorization of 99934 in exponential form is:
99934 = 21 × 291 × 17231
Prime Factorization of 99941
Prime factors of 99941 are 139, 719. Prime factorization of 99941 in exponential form is:
99941 = 1391 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 99934 and 99941.
LCM(99934,99941) = 21 × 291 × 17231 × 1391 × 7191
LCM(99934,99941) = 9987503894
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