What is the Least Common Multiple of 95151 and 95155?
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 95151 and 95155 is 9054093405.
LCM(95151,95155) = 9054093405
Least Common Multiple of 95151 and 95155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95151 and 95155, than apply into the LCM equation.
GCF(95151,95155) = 1
LCM(95151,95155) = ( 95151 × 95155) / 1
LCM(95151,95155) = 9054093405 / 1
LCM(95151,95155) = 9054093405
Least Common Multiple (LCM) of 95151 and 95155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95151 and 95155. First we will calculate the prime factors of 95151 and 95155.
Prime Factorization of 95151
Prime factors of 95151 are 3, 7, 23, 197. Prime factorization of 95151 in exponential form is:
95151 = 31 × 71 × 231 × 1971
Prime Factorization of 95155
Prime factors of 95155 are 5, 19031. Prime factorization of 95155 in exponential form is:
95155 = 51 × 190311
Now multiplying the highest exponent prime factors to calculate the LCM of 95151 and 95155.
LCM(95151,95155) = 31 × 71 × 231 × 1971 × 51 × 190311
LCM(95151,95155) = 9054093405
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