What is the Least Common Multiple of 3177 and 3189?
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 3177 and 3189 is 3377151.
LCM(3177,3189) = 3377151
Least Common Multiple of 3177 and 3189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3177 and 3189, than apply into the LCM equation.
GCF(3177,3189) = 3
LCM(3177,3189) = ( 3177 × 3189) / 3
LCM(3177,3189) = 10131453 / 3
LCM(3177,3189) = 3377151
Least Common Multiple (LCM) of 3177 and 3189 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3177 and 3189. First we will calculate the prime factors of 3177 and 3189.
Prime Factorization of 3177
Prime factors of 3177 are 3, 353. Prime factorization of 3177 in exponential form is:
3177 = 32 × 3531
Prime Factorization of 3189
Prime factors of 3189 are 3, 1063. Prime factorization of 3189 in exponential form is:
3189 = 31 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 3177 and 3189.
LCM(3177,3189) = 32 × 3531 × 10631
LCM(3177,3189) = 3377151
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