What is the Least Common Multiple of 177 and 197?
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 177 and 197 is 34869.
LCM(177,197) = 34869
Least Common Multiple of 177 and 197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 177 and 197, than apply into the LCM equation.
GCF(177,197) = 1
LCM(177,197) = ( 177 × 197) / 1
LCM(177,197) = 34869 / 1
LCM(177,197) = 34869
Least Common Multiple (LCM) of 177 and 197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 177 and 197. First we will calculate the prime factors of 177 and 197.
Prime Factorization of 177
Prime factors of 177 are 3, 59. Prime factorization of 177 in exponential form is:
177 = 31 × 591
Prime Factorization of 197
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 177 and 197.
LCM(177,197) = 31 × 591 × 1971
LCM(177,197) = 34869
Related Least Common Multiples of 177
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Related Least Common Multiples of 197
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