What is the Least Common Multiple of 41618 and 41622?
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 41618 and 41622 is 866112198.
LCM(41618,41622) = 866112198
Least Common Multiple of 41618 and 41622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41618 and 41622, than apply into the LCM equation.
GCF(41618,41622) = 2
LCM(41618,41622) = ( 41618 × 41622) / 2
LCM(41618,41622) = 1732224396 / 2
LCM(41618,41622) = 866112198
Least Common Multiple (LCM) of 41618 and 41622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41618 and 41622. First we will calculate the prime factors of 41618 and 41622.
Prime Factorization of 41618
Prime factors of 41618 are 2, 20809. Prime factorization of 41618 in exponential form is:
41618 = 21 × 208091
Prime Factorization of 41622
Prime factors of 41622 are 2, 3, 7, 991. Prime factorization of 41622 in exponential form is:
41622 = 21 × 31 × 71 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 41618 and 41622.
LCM(41618,41622) = 21 × 208091 × 31 × 71 × 9911
LCM(41618,41622) = 866112198
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