What is the Least Common Multiple of 41911 and 41931?
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 41911 and 41931 is 1757370141.
LCM(41911,41931) = 1757370141
Least Common Multiple of 41911 and 41931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41911 and 41931, than apply into the LCM equation.
GCF(41911,41931) = 1
LCM(41911,41931) = ( 41911 × 41931) / 1
LCM(41911,41931) = 1757370141 / 1
LCM(41911,41931) = 1757370141
Least Common Multiple (LCM) of 41911 and 41931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41911 and 41931. First we will calculate the prime factors of 41911 and 41931.
Prime Factorization of 41911
Prime factors of 41911 are 41911. Prime factorization of 41911 in exponential form is:
41911 = 419111
Prime Factorization of 41931
Prime factors of 41931 are 3, 1553. Prime factorization of 41931 in exponential form is:
41931 = 33 × 15531
Now multiplying the highest exponent prime factors to calculate the LCM of 41911 and 41931.
LCM(41911,41931) = 419111 × 33 × 15531
LCM(41911,41931) = 1757370141
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