What is the Least Common Multiple of 93934 and 93941?
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 93934 and 93941 is 8824253894.
LCM(93934,93941) = 8824253894
Least Common Multiple of 93934 and 93941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93934 and 93941, than apply into the LCM equation.
GCF(93934,93941) = 1
LCM(93934,93941) = ( 93934 × 93941) / 1
LCM(93934,93941) = 8824253894 / 1
LCM(93934,93941) = 8824253894
Least Common Multiple (LCM) of 93934 and 93941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93934 and 93941. First we will calculate the prime factors of 93934 and 93941.
Prime Factorization of 93934
Prime factors of 93934 are 2, 67, 701. Prime factorization of 93934 in exponential form is:
93934 = 21 × 671 × 7011
Prime Factorization of 93941
Prime factors of 93941 are 93941. Prime factorization of 93941 in exponential form is:
93941 = 939411
Now multiplying the highest exponent prime factors to calculate the LCM of 93934 and 93941.
LCM(93934,93941) = 21 × 671 × 7011 × 939411
LCM(93934,93941) = 8824253894
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