What is the Least Common Multiple of 195 and 211?
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 211 is 41145.
LCM(195,211) = 41145
Least Common Multiple of 195 and 211 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 211, than apply into the LCM equation.
GCF(195,211) = 1
LCM(195,211) = ( 195 × 211) / 1
LCM(195,211) = 41145 / 1
LCM(195,211) = 41145
Least Common Multiple (LCM) of 195 and 211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 211. First we will calculate the prime factors of 195 and 211.
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 211
Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:
211 = 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 211.
LCM(195,211) = 31 × 51 × 131 × 2111
LCM(195,211) = 41145
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Related Least Common Multiples of 211
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