What is the Least Common Multiple of 95535 and 95554?
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 95535 and 95554 is 9128751390.
LCM(95535,95554) = 9128751390
Least Common Multiple of 95535 and 95554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95535 and 95554, than apply into the LCM equation.
GCF(95535,95554) = 1
LCM(95535,95554) = ( 95535 × 95554) / 1
LCM(95535,95554) = 9128751390 / 1
LCM(95535,95554) = 9128751390
Least Common Multiple (LCM) of 95535 and 95554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95535 and 95554. First we will calculate the prime factors of 95535 and 95554.
Prime Factorization of 95535
Prime factors of 95535 are 3, 5, 11, 193. Prime factorization of 95535 in exponential form is:
95535 = 32 × 51 × 111 × 1931
Prime Factorization of 95554
Prime factors of 95554 are 2, 47777. Prime factorization of 95554 in exponential form is:
95554 = 21 × 477771
Now multiplying the highest exponent prime factors to calculate the LCM of 95535 and 95554.
LCM(95535,95554) = 32 × 51 × 111 × 1931 × 21 × 477771
LCM(95535,95554) = 9128751390
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