What is the Least Common Multiple of 92855 and 92862?
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 92855 and 92862 is 1231814430.
LCM(92855,92862) = 1231814430
Least Common Multiple of 92855 and 92862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92855 and 92862, than apply into the LCM equation.
GCF(92855,92862) = 7
LCM(92855,92862) = ( 92855 × 92862) / 7
LCM(92855,92862) = 8622701010 / 7
LCM(92855,92862) = 1231814430
Least Common Multiple (LCM) of 92855 and 92862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92855 and 92862. First we will calculate the prime factors of 92855 and 92862.
Prime Factorization of 92855
Prime factors of 92855 are 5, 7, 379. Prime factorization of 92855 in exponential form is:
92855 = 51 × 72 × 3791
Prime Factorization of 92862
Prime factors of 92862 are 2, 3, 7, 11, 67. Prime factorization of 92862 in exponential form is:
92862 = 21 × 32 × 71 × 111 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 92855 and 92862.
LCM(92855,92862) = 51 × 72 × 3791 × 21 × 32 × 111 × 671
LCM(92855,92862) = 1231814430
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