What is the Least Common Multiple of 32437 and 32452?
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 32437 and 32452 is 1052645524.
LCM(32437,32452) = 1052645524
Least Common Multiple of 32437 and 32452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32437 and 32452, than apply into the LCM equation.
GCF(32437,32452) = 1
LCM(32437,32452) = ( 32437 × 32452) / 1
LCM(32437,32452) = 1052645524 / 1
LCM(32437,32452) = 1052645524
Least Common Multiple (LCM) of 32437 and 32452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32437 and 32452. First we will calculate the prime factors of 32437 and 32452.
Prime Factorization of 32437
Prime factors of 32437 are 163, 199. Prime factorization of 32437 in exponential form is:
32437 = 1631 × 1991
Prime Factorization of 32452
Prime factors of 32452 are 2, 7, 19, 61. Prime factorization of 32452 in exponential form is:
32452 = 22 × 71 × 191 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 32437 and 32452.
LCM(32437,32452) = 1631 × 1991 × 22 × 71 × 191 × 611
LCM(32437,32452) = 1052645524
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