What is the Least Common Multiple of 32483 and 32487?
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 32483 and 32487 is 1055275221.
LCM(32483,32487) = 1055275221
Least Common Multiple of 32483 and 32487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32483 and 32487, than apply into the LCM equation.
GCF(32483,32487) = 1
LCM(32483,32487) = ( 32483 × 32487) / 1
LCM(32483,32487) = 1055275221 / 1
LCM(32483,32487) = 1055275221
Least Common Multiple (LCM) of 32483 and 32487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32483 and 32487. First we will calculate the prime factors of 32483 and 32487.
Prime Factorization of 32483
Prime factors of 32483 are 11, 2953. Prime factorization of 32483 in exponential form is:
32483 = 111 × 29531
Prime Factorization of 32487
Prime factors of 32487 are 3, 7, 13, 17. Prime factorization of 32487 in exponential form is:
32487 = 31 × 72 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 32483 and 32487.
LCM(32483,32487) = 111 × 29531 × 31 × 72 × 131 × 171
LCM(32483,32487) = 1055275221
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