What is the Least Common Multiple of 40366 and 40385?
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 40385 is 1630180910.
LCM(40366,40385) = 1630180910
Least Common Multiple of 40366 and 40385 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 40385, than apply into the LCM equation.
GCF(40366,40385) = 1
LCM(40366,40385) = ( 40366 × 40385) / 1
LCM(40366,40385) = 1630180910 / 1
LCM(40366,40385) = 1630180910
Least Common Multiple (LCM) of 40366 and 40385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40366 and 40385. First we will calculate the prime factors of 40366 and 40385.
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 40385
Prime factors of 40385 are 5, 41, 197. Prime factorization of 40385 in exponential form is:
40385 = 51 × 411 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 40366 and 40385.
LCM(40366,40385) = 21 × 201831 × 51 × 411 × 1971
LCM(40366,40385) = 1630180910
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