What is the Least Common Multiple of 40357 and 40366?
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 40357 and 40366 is 1629050662.
LCM(40357,40366) = 1629050662
Least Common Multiple of 40357 and 40366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40357 and 40366, than apply into the LCM equation.
GCF(40357,40366) = 1
LCM(40357,40366) = ( 40357 × 40366) / 1
LCM(40357,40366) = 1629050662 / 1
LCM(40357,40366) = 1629050662
Least Common Multiple (LCM) of 40357 and 40366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40357 and 40366. First we will calculate the prime factors of 40357 and 40366.
Prime Factorization of 40357
Prime factors of 40357 are 40357. Prime factorization of 40357 in exponential form is:
40357 = 403571
Prime Factorization of 40366
Prime factors of 40366 are 2, 20183. Prime factorization of 40366 in exponential form is:
40366 = 21 × 201831
Now multiplying the highest exponent prime factors to calculate the LCM of 40357 and 40366.
LCM(40357,40366) = 403571 × 21 × 201831
LCM(40357,40366) = 1629050662
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