What is the Least Common Multiple of 92555 and 92562?
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 92555 and 92562 is 8567075910.
LCM(92555,92562) = 8567075910
Least Common Multiple of 92555 and 92562 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92555 and 92562, than apply into the LCM equation.
GCF(92555,92562) = 1
LCM(92555,92562) = ( 92555 × 92562) / 1
LCM(92555,92562) = 8567075910 / 1
LCM(92555,92562) = 8567075910
Least Common Multiple (LCM) of 92555 and 92562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92555 and 92562. First we will calculate the prime factors of 92555 and 92562.
Prime Factorization of 92555
Prime factors of 92555 are 5, 107, 173. Prime factorization of 92555 in exponential form is:
92555 = 51 × 1071 × 1731
Prime Factorization of 92562
Prime factors of 92562 are 2, 3, 15427. Prime factorization of 92562 in exponential form is:
92562 = 21 × 31 × 154271
Now multiplying the highest exponent prime factors to calculate the LCM of 92555 and 92562.
LCM(92555,92562) = 51 × 1071 × 1731 × 21 × 31 × 154271
LCM(92555,92562) = 8567075910
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