What is the Least Common Multiple of 40691 and 40706?
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 40691 and 40706 is 1656367846.
LCM(40691,40706) = 1656367846
Least Common Multiple of 40691 and 40706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40691 and 40706, than apply into the LCM equation.
GCF(40691,40706) = 1
LCM(40691,40706) = ( 40691 × 40706) / 1
LCM(40691,40706) = 1656367846 / 1
LCM(40691,40706) = 1656367846
Least Common Multiple (LCM) of 40691 and 40706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40691 and 40706. First we will calculate the prime factors of 40691 and 40706.
Prime Factorization of 40691
Prime factors of 40691 are 7, 5813. Prime factorization of 40691 in exponential form is:
40691 = 71 × 58131
Prime Factorization of 40706
Prime factors of 40706 are 2, 20353. Prime factorization of 40706 in exponential form is:
40706 = 21 × 203531
Now multiplying the highest exponent prime factors to calculate the LCM of 40691 and 40706.
LCM(40691,40706) = 71 × 58131 × 21 × 203531
LCM(40691,40706) = 1656367846
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