What is the Least Common Multiple of 3195 and 3200?
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 3195 and 3200 is 2044800.
LCM(3195,3200) = 2044800
Least Common Multiple of 3195 and 3200 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3195 and 3200, than apply into the LCM equation.
GCF(3195,3200) = 5
LCM(3195,3200) = ( 3195 × 3200) / 5
LCM(3195,3200) = 10224000 / 5
LCM(3195,3200) = 2044800
Least Common Multiple (LCM) of 3195 and 3200 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3200. First we will calculate the prime factors of 3195 and 3200.
Prime Factorization of 3195
Prime factors of 3195 are 3, 5, 71. Prime factorization of 3195 in exponential form is:
3195 = 32 × 51 × 711
Prime Factorization of 3200
Prime factors of 3200 are 2, 5. Prime factorization of 3200 in exponential form is:
3200 = 27 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3200.
LCM(3195,3200) = 32 × 52 × 711 × 27
LCM(3195,3200) = 2044800
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