What is the Least Common Multiple of 92787 and 92807?
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 92787 and 92807 is 8611283109.
LCM(92787,92807) = 8611283109
Least Common Multiple of 92787 and 92807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92787 and 92807, than apply into the LCM equation.
GCF(92787,92807) = 1
LCM(92787,92807) = ( 92787 × 92807) / 1
LCM(92787,92807) = 8611283109 / 1
LCM(92787,92807) = 8611283109
Least Common Multiple (LCM) of 92787 and 92807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92787 and 92807. First we will calculate the prime factors of 92787 and 92807.
Prime Factorization of 92787
Prime factors of 92787 are 3, 157, 197. Prime factorization of 92787 in exponential form is:
92787 = 31 × 1571 × 1971
Prime Factorization of 92807
Prime factors of 92807 are 11, 13, 59. Prime factorization of 92807 in exponential form is:
92807 = 112 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 92787 and 92807.
LCM(92787,92807) = 31 × 1571 × 1971 × 112 × 131 × 591
LCM(92787,92807) = 8611283109
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