What is the Least Common Multiple of 41611 and 41618?
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 41611 and 41618 is 1731766598.
LCM(41611,41618) = 1731766598
Least Common Multiple of 41611 and 41618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41611 and 41618, than apply into the LCM equation.
GCF(41611,41618) = 1
LCM(41611,41618) = ( 41611 × 41618) / 1
LCM(41611,41618) = 1731766598 / 1
LCM(41611,41618) = 1731766598
Least Common Multiple (LCM) of 41611 and 41618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41611 and 41618. First we will calculate the prime factors of 41611 and 41618.
Prime Factorization of 41611
Prime factors of 41611 are 41611. Prime factorization of 41611 in exponential form is:
41611 = 416111
Prime Factorization of 41618
Prime factors of 41618 are 2, 20809. Prime factorization of 41618 in exponential form is:
41618 = 21 × 208091
Now multiplying the highest exponent prime factors to calculate the LCM of 41611 and 41618.
LCM(41611,41618) = 416111 × 21 × 208091
LCM(41611,41618) = 1731766598
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