What is the Least Common Multiple of 41618 and 41636?
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 41636 is 866403524.
LCM(41618,41636) = 866403524
Least Common Multiple of 41618 and 41636 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 41636, than apply into the LCM equation.
GCF(41618,41636) = 2
LCM(41618,41636) = ( 41618 × 41636) / 2
LCM(41618,41636) = 1732807048 / 2
LCM(41618,41636) = 866403524
Least Common Multiple (LCM) of 41618 and 41636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41618 and 41636. First we will calculate the prime factors of 41618 and 41636.
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 41636
Prime factors of 41636 are 2, 7, 1487. Prime factorization of 41636 in exponential form is:
41636 = 22 × 71 × 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 41618 and 41636.
LCM(41618,41636) = 22 × 208091 × 71 × 14871
LCM(41618,41636) = 866403524
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