What is the Least Common Multiple of 92807 and 92820?
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 92807 and 92820 is 662641980.
LCM(92807,92820) = 662641980
Least Common Multiple of 92807 and 92820 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92807 and 92820, than apply into the LCM equation.
GCF(92807,92820) = 13
LCM(92807,92820) = ( 92807 × 92820) / 13
LCM(92807,92820) = 8614345740 / 13
LCM(92807,92820) = 662641980
Least Common Multiple (LCM) of 92807 and 92820 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92807 and 92820. First we will calculate the prime factors of 92807 and 92820.
Prime Factorization of 92807
Prime factors of 92807 are 11, 13, 59. Prime factorization of 92807 in exponential form is:
92807 = 112 × 131 × 591
Prime Factorization of 92820
Prime factors of 92820 are 2, 3, 5, 7, 13, 17. Prime factorization of 92820 in exponential form is:
92820 = 22 × 31 × 51 × 71 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 92807 and 92820.
LCM(92807,92820) = 112 × 131 × 591 × 22 × 31 × 51 × 71 × 171
LCM(92807,92820) = 662641980
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