What is the Least Common Multiple of 41416 and 41433?
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 41416 and 41433 is 1715989128.
LCM(41416,41433) = 1715989128
Least Common Multiple of 41416 and 41433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41416 and 41433, than apply into the LCM equation.
GCF(41416,41433) = 1
LCM(41416,41433) = ( 41416 × 41433) / 1
LCM(41416,41433) = 1715989128 / 1
LCM(41416,41433) = 1715989128
Least Common Multiple (LCM) of 41416 and 41433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41416 and 41433. First we will calculate the prime factors of 41416 and 41433.
Prime Factorization of 41416
Prime factors of 41416 are 2, 31, 167. Prime factorization of 41416 in exponential form is:
41416 = 23 × 311 × 1671
Prime Factorization of 41433
Prime factors of 41433 are 3, 7, 1973. Prime factorization of 41433 in exponential form is:
41433 = 31 × 71 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 41416 and 41433.
LCM(41416,41433) = 23 × 311 × 1671 × 31 × 71 × 19731
LCM(41416,41433) = 1715989128
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