What is the Least Common Multiple of 40183 and 40193?
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 40183 and 40193 is 1615075319.
LCM(40183,40193) = 1615075319
Least Common Multiple of 40183 and 40193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40183 and 40193, than apply into the LCM equation.
GCF(40183,40193) = 1
LCM(40183,40193) = ( 40183 × 40193) / 1
LCM(40183,40193) = 1615075319 / 1
LCM(40183,40193) = 1615075319
Least Common Multiple (LCM) of 40183 and 40193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40183 and 40193. First we will calculate the prime factors of 40183 and 40193.
Prime Factorization of 40183
Prime factors of 40183 are 11, 13, 281. Prime factorization of 40183 in exponential form is:
40183 = 111 × 131 × 2811
Prime Factorization of 40193
Prime factors of 40193 are 40193. Prime factorization of 40193 in exponential form is:
40193 = 401931
Now multiplying the highest exponent prime factors to calculate the LCM of 40183 and 40193.
LCM(40183,40193) = 111 × 131 × 2811 × 401931
LCM(40183,40193) = 1615075319
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