What is the Least Common Multiple of 40366 and 40386?
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 40366 and 40386 is 815110638.
LCM(40366,40386) = 815110638
Least Common Multiple of 40366 and 40386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40366 and 40386, than apply into the LCM equation.
GCF(40366,40386) = 2
LCM(40366,40386) = ( 40366 × 40386) / 2
LCM(40366,40386) = 1630221276 / 2
LCM(40366,40386) = 815110638
Least Common Multiple (LCM) of 40366 and 40386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40366 and 40386. First we will calculate the prime factors of 40366 and 40386.
Prime Factorization of 40366
Prime factors of 40366 are 2, 20183. Prime factorization of 40366 in exponential form is:
40366 = 21 × 201831
Prime Factorization of 40386
Prime factors of 40386 are 2, 3, 53, 127. Prime factorization of 40386 in exponential form is:
40386 = 21 × 31 × 531 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 40366 and 40386.
LCM(40366,40386) = 21 × 201831 × 31 × 531 × 1271
LCM(40366,40386) = 815110638
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