What is the Least Common Multiple of 32286 and 32300?
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 32286 and 32300 is 521418900.
LCM(32286,32300) = 521418900
Least Common Multiple of 32286 and 32300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32286 and 32300, than apply into the LCM equation.
GCF(32286,32300) = 2
LCM(32286,32300) = ( 32286 × 32300) / 2
LCM(32286,32300) = 1042837800 / 2
LCM(32286,32300) = 521418900
Least Common Multiple (LCM) of 32286 and 32300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32286 and 32300. First we will calculate the prime factors of 32286 and 32300.
Prime Factorization of 32286
Prime factors of 32286 are 2, 3, 5381. Prime factorization of 32286 in exponential form is:
32286 = 21 × 31 × 53811
Prime Factorization of 32300
Prime factors of 32300 are 2, 5, 17, 19. Prime factorization of 32300 in exponential form is:
32300 = 22 × 52 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 32286 and 32300.
LCM(32286,32300) = 22 × 31 × 53811 × 52 × 171 × 191
LCM(32286,32300) = 521418900
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