What is the Least Common Multiple of 195 and 207?
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 195 and 207 is 13455.
LCM(195,207) = 13455
Least Common Multiple of 195 and 207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 207, than apply into the LCM equation.
GCF(195,207) = 3
LCM(195,207) = ( 195 × 207) / 3
LCM(195,207) = 40365 / 3
LCM(195,207) = 13455
Least Common Multiple (LCM) of 195 and 207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 207. First we will calculate the prime factors of 195 and 207.
Prime Factorization of 195
Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:
195 = 31 × 51 × 131
Prime Factorization of 207
Prime factors of 207 are 3, 23. Prime factorization of 207 in exponential form is:
207 = 32 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 207.
LCM(195,207) = 32 × 51 × 131 × 231
LCM(195,207) = 13455
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Related Least Common Multiples of 207
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