What is the Least Common Multiple of 18392 and 18412?
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 18392 and 18412 is 84658376.
LCM(18392,18412) = 84658376
Least Common Multiple of 18392 and 18412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18392 and 18412, than apply into the LCM equation.
GCF(18392,18412) = 4
LCM(18392,18412) = ( 18392 × 18412) / 4
LCM(18392,18412) = 338633504 / 4
LCM(18392,18412) = 84658376
Least Common Multiple (LCM) of 18392 and 18412 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18392 and 18412. First we will calculate the prime factors of 18392 and 18412.
Prime Factorization of 18392
Prime factors of 18392 are 2, 11, 19. Prime factorization of 18392 in exponential form is:
18392 = 23 × 112 × 191
Prime Factorization of 18412
Prime factors of 18412 are 2, 4603. Prime factorization of 18412 in exponential form is:
18412 = 22 × 46031
Now multiplying the highest exponent prime factors to calculate the LCM of 18392 and 18412.
LCM(18392,18412) = 23 × 112 × 191 × 46031
LCM(18392,18412) = 84658376
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