What is the Least Common Multiple of 32518 and 32537?
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 32518 and 32537 is 1058038166.
LCM(32518,32537) = 1058038166
Least Common Multiple of 32518 and 32537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32518 and 32537, than apply into the LCM equation.
GCF(32518,32537) = 1
LCM(32518,32537) = ( 32518 × 32537) / 1
LCM(32518,32537) = 1058038166 / 1
LCM(32518,32537) = 1058038166
Least Common Multiple (LCM) of 32518 and 32537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32518 and 32537. First we will calculate the prime factors of 32518 and 32537.
Prime Factorization of 32518
Prime factors of 32518 are 2, 71, 229. Prime factorization of 32518 in exponential form is:
32518 = 21 × 711 × 2291
Prime Factorization of 32537
Prime factors of 32537 are 32537. Prime factorization of 32537 in exponential form is:
32537 = 325371
Now multiplying the highest exponent prime factors to calculate the LCM of 32518 and 32537.
LCM(32518,32537) = 21 × 711 × 2291 × 325371
LCM(32518,32537) = 1058038166
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