What is the Least Common Multiple of 95164 and 95183?
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 95164 and 95183 is 9057995012.
LCM(95164,95183) = 9057995012
Least Common Multiple of 95164 and 95183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95164 and 95183, than apply into the LCM equation.
GCF(95164,95183) = 1
LCM(95164,95183) = ( 95164 × 95183) / 1
LCM(95164,95183) = 9057995012 / 1
LCM(95164,95183) = 9057995012
Least Common Multiple (LCM) of 95164 and 95183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95164 and 95183. First we will calculate the prime factors of 95164 and 95183.
Prime Factorization of 95164
Prime factors of 95164 are 2, 37, 643. Prime factorization of 95164 in exponential form is:
95164 = 22 × 371 × 6431
Prime Factorization of 95183
Prime factors of 95183 are 11, 17, 509. Prime factorization of 95183 in exponential form is:
95183 = 111 × 171 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 95164 and 95183.
LCM(95164,95183) = 22 × 371 × 6431 × 111 × 171 × 5091
LCM(95164,95183) = 9057995012
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