What is the Least Common Multiple of 81483 and 81487?
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 81483 and 81487 is 6639805221.
LCM(81483,81487) = 6639805221
Least Common Multiple of 81483 and 81487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81483 and 81487, than apply into the LCM equation.
GCF(81483,81487) = 1
LCM(81483,81487) = ( 81483 × 81487) / 1
LCM(81483,81487) = 6639805221 / 1
LCM(81483,81487) = 6639805221
Least Common Multiple (LCM) of 81483 and 81487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81483 and 81487. First we will calculate the prime factors of 81483 and 81487.
Prime Factorization of 81483
Prime factors of 81483 are 3, 157, 173. Prime factorization of 81483 in exponential form is:
81483 = 31 × 1571 × 1731
Prime Factorization of 81487
Prime factors of 81487 are 7, 1663. Prime factorization of 81487 in exponential form is:
81487 = 72 × 16631
Now multiplying the highest exponent prime factors to calculate the LCM of 81483 and 81487.
LCM(81483,81487) = 31 × 1571 × 1731 × 72 × 16631
LCM(81483,81487) = 6639805221
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