What is the Least Common Multiple of 92055 and 92062?
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 92055 and 92062 is 8474767410.
LCM(92055,92062) = 8474767410
Least Common Multiple of 92055 and 92062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92055 and 92062, than apply into the LCM equation.
GCF(92055,92062) = 1
LCM(92055,92062) = ( 92055 × 92062) / 1
LCM(92055,92062) = 8474767410 / 1
LCM(92055,92062) = 8474767410
Least Common Multiple (LCM) of 92055 and 92062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92055 and 92062. First we will calculate the prime factors of 92055 and 92062.
Prime Factorization of 92055
Prime factors of 92055 are 3, 5, 17, 19. Prime factorization of 92055 in exponential form is:
92055 = 31 × 51 × 171 × 192
Prime Factorization of 92062
Prime factors of 92062 are 2, 191, 241. Prime factorization of 92062 in exponential form is:
92062 = 21 × 1911 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 92055 and 92062.
LCM(92055,92062) = 31 × 51 × 171 × 192 × 21 × 1911 × 2411
LCM(92055,92062) = 8474767410
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