What is the Least Common Multiple of 9540 and 9549?
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 9540 and 9549 is 10121940.
LCM(9540,9549) = 10121940
Least Common Multiple of 9540 and 9549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9540 and 9549, than apply into the LCM equation.
GCF(9540,9549) = 9
LCM(9540,9549) = ( 9540 × 9549) / 9
LCM(9540,9549) = 91097460 / 9
LCM(9540,9549) = 10121940
Least Common Multiple (LCM) of 9540 and 9549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9540 and 9549. First we will calculate the prime factors of 9540 and 9549.
Prime Factorization of 9540
Prime factors of 9540 are 2, 3, 5, 53. Prime factorization of 9540 in exponential form is:
9540 = 22 × 32 × 51 × 531
Prime Factorization of 9549
Prime factors of 9549 are 3, 1061. Prime factorization of 9549 in exponential form is:
9549 = 32 × 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 9540 and 9549.
LCM(9540,9549) = 22 × 32 × 51 × 531 × 10611
LCM(9540,9549) = 10121940
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