What is the Least Common Multiple of 95165 and 95169?
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 95165 and 95169 is 9056757885.
LCM(95165,95169) = 9056757885
Least Common Multiple of 95165 and 95169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95165 and 95169, than apply into the LCM equation.
GCF(95165,95169) = 1
LCM(95165,95169) = ( 95165 × 95169) / 1
LCM(95165,95169) = 9056757885 / 1
LCM(95165,95169) = 9056757885
Least Common Multiple (LCM) of 95165 and 95169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95165 and 95169. First we will calculate the prime factors of 95165 and 95169.
Prime Factorization of 95165
Prime factors of 95165 are 5, 7, 2719. Prime factorization of 95165 in exponential form is:
95165 = 51 × 71 × 27191
Prime Factorization of 95169
Prime factors of 95169 are 3, 31723. Prime factorization of 95169 in exponential form is:
95169 = 31 × 317231
Now multiplying the highest exponent prime factors to calculate the LCM of 95165 and 95169.
LCM(95165,95169) = 51 × 71 × 27191 × 31 × 317231
LCM(95165,95169) = 9056757885
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