What is the Least Common Multiple of 95167 and 95180?
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 95167 and 95180 is 9057995060.
LCM(95167,95180) = 9057995060
Least Common Multiple of 95167 and 95180 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95167 and 95180, than apply into the LCM equation.
GCF(95167,95180) = 1
LCM(95167,95180) = ( 95167 × 95180) / 1
LCM(95167,95180) = 9057995060 / 1
LCM(95167,95180) = 9057995060
Least Common Multiple (LCM) of 95167 and 95180 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95167 and 95180. First we will calculate the prime factors of 95167 and 95180.
Prime Factorization of 95167
Prime factors of 95167 are 59, 1613. Prime factorization of 95167 in exponential form is:
95167 = 591 × 16131
Prime Factorization of 95180
Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:
95180 = 22 × 51 × 47591
Now multiplying the highest exponent prime factors to calculate the LCM of 95167 and 95180.
LCM(95167,95180) = 591 × 16131 × 22 × 51 × 47591
LCM(95167,95180) = 9057995060
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