What is the Least Common Multiple of 95554 and 95560?
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 95554 and 95560 is 4565570120.
LCM(95554,95560) = 4565570120
Least Common Multiple of 95554 and 95560 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95554 and 95560, than apply into the LCM equation.
GCF(95554,95560) = 2
LCM(95554,95560) = ( 95554 × 95560) / 2
LCM(95554,95560) = 9131140240 / 2
LCM(95554,95560) = 4565570120
Least Common Multiple (LCM) of 95554 and 95560 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95554 and 95560. First we will calculate the prime factors of 95554 and 95560.
Prime Factorization of 95554
Prime factors of 95554 are 2, 47777. Prime factorization of 95554 in exponential form is:
95554 = 21 × 477771
Prime Factorization of 95560
Prime factors of 95560 are 2, 5, 2389. Prime factorization of 95560 in exponential form is:
95560 = 23 × 51 × 23891
Now multiplying the highest exponent prime factors to calculate the LCM of 95554 and 95560.
LCM(95554,95560) = 23 × 477771 × 51 × 23891
LCM(95554,95560) = 4565570120
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