What is the Least Common Multiple of 95182 and 95195?
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 95182 and 95195 is 9060850490.
LCM(95182,95195) = 9060850490
Least Common Multiple of 95182 and 95195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95182 and 95195, than apply into the LCM equation.
GCF(95182,95195) = 1
LCM(95182,95195) = ( 95182 × 95195) / 1
LCM(95182,95195) = 9060850490 / 1
LCM(95182,95195) = 9060850490
Least Common Multiple (LCM) of 95182 and 95195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95182 and 95195. First we will calculate the prime factors of 95182 and 95195.
Prime Factorization of 95182
Prime factors of 95182 are 2, 47591. Prime factorization of 95182 in exponential form is:
95182 = 21 × 475911
Prime Factorization of 95195
Prime factors of 95195 are 5, 79, 241. Prime factorization of 95195 in exponential form is:
95195 = 51 × 791 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 95182 and 95195.
LCM(95182,95195) = 21 × 475911 × 51 × 791 × 2411
LCM(95182,95195) = 9060850490
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