What is the Least Common Multiple of 92483 and 92487?
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 92483 and 92487 is 8553475221.
LCM(92483,92487) = 8553475221
Least Common Multiple of 92483 and 92487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92483 and 92487, than apply into the LCM equation.
GCF(92483,92487) = 1
LCM(92483,92487) = ( 92483 × 92487) / 1
LCM(92483,92487) = 8553475221 / 1
LCM(92483,92487) = 8553475221
Least Common Multiple (LCM) of 92483 and 92487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92483 and 92487. First we will calculate the prime factors of 92483 and 92487.
Prime Factorization of 92483
Prime factors of 92483 are 23, 4021. Prime factorization of 92483 in exponential form is:
92483 = 231 × 40211
Prime Factorization of 92487
Prime factors of 92487 are 3, 30829. Prime factorization of 92487 in exponential form is:
92487 = 31 × 308291
Now multiplying the highest exponent prime factors to calculate the LCM of 92483 and 92487.
LCM(92483,92487) = 231 × 40211 × 31 × 308291
LCM(92483,92487) = 8553475221
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