What is the Least Common Multiple of 95182 and 95186?
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 95186 is 4529996926.
LCM(95182,95186) = 4529996926
Least Common Multiple of 95182 and 95186 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 95186, than apply into the LCM equation.
GCF(95182,95186) = 2
LCM(95182,95186) = ( 95182 × 95186) / 2
LCM(95182,95186) = 9059993852 / 2
LCM(95182,95186) = 4529996926
Least Common Multiple (LCM) of 95182 and 95186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95182 and 95186. First we will calculate the prime factors of 95182 and 95186.
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 95186
Prime factors of 95186 are 2, 7, 13, 523. Prime factorization of 95186 in exponential form is:
95186 = 21 × 71 × 131 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 95182 and 95186.
LCM(95182,95186) = 21 × 475911 × 71 × 131 × 5231
LCM(95182,95186) = 4529996926
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