What is the Least Common Multiple of 40363 and 40368?
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 40363 and 40368 is 1629373584.
LCM(40363,40368) = 1629373584
Least Common Multiple of 40363 and 40368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40363 and 40368, than apply into the LCM equation.
GCF(40363,40368) = 1
LCM(40363,40368) = ( 40363 × 40368) / 1
LCM(40363,40368) = 1629373584 / 1
LCM(40363,40368) = 1629373584
Least Common Multiple (LCM) of 40363 and 40368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40363 and 40368. First we will calculate the prime factors of 40363 and 40368.
Prime Factorization of 40363
Prime factors of 40363 are 181, 223. Prime factorization of 40363 in exponential form is:
40363 = 1811 × 2231
Prime Factorization of 40368
Prime factors of 40368 are 2, 3, 29. Prime factorization of 40368 in exponential form is:
40368 = 24 × 31 × 292
Now multiplying the highest exponent prime factors to calculate the LCM of 40363 and 40368.
LCM(40363,40368) = 1811 × 2231 × 24 × 31 × 292
LCM(40363,40368) = 1629373584
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