What is the Least Common Multiple of 92927 and 92947?
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 92927 and 92947 is 8637285869.
LCM(92927,92947) = 8637285869
Least Common Multiple of 92927 and 92947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92927 and 92947, than apply into the LCM equation.
GCF(92927,92947) = 1
LCM(92927,92947) = ( 92927 × 92947) / 1
LCM(92927,92947) = 8637285869 / 1
LCM(92927,92947) = 8637285869
Least Common Multiple (LCM) of 92927 and 92947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92927 and 92947. First we will calculate the prime factors of 92927 and 92947.
Prime Factorization of 92927
Prime factors of 92927 are 92927. Prime factorization of 92927 in exponential form is:
92927 = 929271
Prime Factorization of 92947
Prime factors of 92947 are 41, 2267. Prime factorization of 92947 in exponential form is:
92947 = 411 × 22671
Now multiplying the highest exponent prime factors to calculate the LCM of 92927 and 92947.
LCM(92927,92947) = 929271 × 411 × 22671
LCM(92927,92947) = 8637285869
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