What is the Least Common Multiple of 96542 and 96549?
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 96542 and 96549 is 9321033558.
LCM(96542,96549) = 9321033558
Least Common Multiple of 96542 and 96549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96542 and 96549, than apply into the LCM equation.
GCF(96542,96549) = 1
LCM(96542,96549) = ( 96542 × 96549) / 1
LCM(96542,96549) = 9321033558 / 1
LCM(96542,96549) = 9321033558
Least Common Multiple (LCM) of 96542 and 96549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96542 and 96549. First we will calculate the prime factors of 96542 and 96549.
Prime Factorization of 96542
Prime factors of 96542 are 2, 48271. Prime factorization of 96542 in exponential form is:
96542 = 21 × 482711
Prime Factorization of 96549
Prime factors of 96549 are 3, 32183. Prime factorization of 96549 in exponential form is:
96549 = 31 × 321831
Now multiplying the highest exponent prime factors to calculate the LCM of 96542 and 96549.
LCM(96542,96549) = 21 × 482711 × 31 × 321831
LCM(96542,96549) = 9321033558
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