What is the Least Common Multiple of 92047 and 92067?
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 92047 and 92067 is 8474491149.
LCM(92047,92067) = 8474491149
Least Common Multiple of 92047 and 92067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92047 and 92067, than apply into the LCM equation.
GCF(92047,92067) = 1
LCM(92047,92067) = ( 92047 × 92067) / 1
LCM(92047,92067) = 8474491149 / 1
LCM(92047,92067) = 8474491149
Least Common Multiple (LCM) of 92047 and 92067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92047 and 92067. First we will calculate the prime factors of 92047 and 92067.
Prime Factorization of 92047
Prime factors of 92047 are 83, 1109. Prime factorization of 92047 in exponential form is:
92047 = 831 × 11091
Prime Factorization of 92067
Prime factors of 92067 are 3, 30689. Prime factorization of 92067 in exponential form is:
92067 = 31 × 306891
Now multiplying the highest exponent prime factors to calculate the LCM of 92047 and 92067.
LCM(92047,92067) = 831 × 11091 × 31 × 306891
LCM(92047,92067) = 8474491149
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