What is the Least Common Multiple of 92767 and 92774?
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 92767 and 92774 is 8606365658.
LCM(92767,92774) = 8606365658
Least Common Multiple of 92767 and 92774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92767 and 92774, than apply into the LCM equation.
GCF(92767,92774) = 1
LCM(92767,92774) = ( 92767 × 92774) / 1
LCM(92767,92774) = 8606365658 / 1
LCM(92767,92774) = 8606365658
Least Common Multiple (LCM) of 92767 and 92774 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92767 and 92774. First we will calculate the prime factors of 92767 and 92774.
Prime Factorization of 92767
Prime factors of 92767 are 92767. Prime factorization of 92767 in exponential form is:
92767 = 927671
Prime Factorization of 92774
Prime factors of 92774 are 2, 11, 4217. Prime factorization of 92774 in exponential form is:
92774 = 21 × 111 × 42171
Now multiplying the highest exponent prime factors to calculate the LCM of 92767 and 92774.
LCM(92767,92774) = 927671 × 21 × 111 × 42171
LCM(92767,92774) = 8606365658
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