What is the Least Common Multiple of 40611 and 40618?
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 40611 and 40618 is 1649537598.
LCM(40611,40618) = 1649537598
Least Common Multiple of 40611 and 40618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40611 and 40618, than apply into the LCM equation.
GCF(40611,40618) = 1
LCM(40611,40618) = ( 40611 × 40618) / 1
LCM(40611,40618) = 1649537598 / 1
LCM(40611,40618) = 1649537598
Least Common Multiple (LCM) of 40611 and 40618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40611 and 40618. First we will calculate the prime factors of 40611 and 40618.
Prime Factorization of 40611
Prime factors of 40611 are 3, 13537. Prime factorization of 40611 in exponential form is:
40611 = 31 × 135371
Prime Factorization of 40618
Prime factors of 40618 are 2, 23, 883. Prime factorization of 40618 in exponential form is:
40618 = 21 × 231 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 40611 and 40618.
LCM(40611,40618) = 31 × 135371 × 21 × 231 × 8831
LCM(40611,40618) = 1649537598
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