What is the Least Common Multiple of 41846 and 41855?
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 41846 and 41855 is 1751464330.
LCM(41846,41855) = 1751464330
Least Common Multiple of 41846 and 41855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41846 and 41855, than apply into the LCM equation.
GCF(41846,41855) = 1
LCM(41846,41855) = ( 41846 × 41855) / 1
LCM(41846,41855) = 1751464330 / 1
LCM(41846,41855) = 1751464330
Least Common Multiple (LCM) of 41846 and 41855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41846 and 41855. First we will calculate the prime factors of 41846 and 41855.
Prime Factorization of 41846
Prime factors of 41846 are 2, 7, 61. Prime factorization of 41846 in exponential form is:
41846 = 21 × 73 × 611
Prime Factorization of 41855
Prime factors of 41855 are 5, 11, 761. Prime factorization of 41855 in exponential form is:
41855 = 51 × 111 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 41846 and 41855.
LCM(41846,41855) = 21 × 73 × 611 × 51 × 111 × 7611
LCM(41846,41855) = 1751464330
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