What is the Least Common Multiple of 77225 and 77241?
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 77225 and 77241 is 5964936225.
LCM(77225,77241) = 5964936225
Least Common Multiple of 77225 and 77241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77225 and 77241, than apply into the LCM equation.
GCF(77225,77241) = 1
LCM(77225,77241) = ( 77225 × 77241) / 1
LCM(77225,77241) = 5964936225 / 1
LCM(77225,77241) = 5964936225
Least Common Multiple (LCM) of 77225 and 77241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77225 and 77241. First we will calculate the prime factors of 77225 and 77241.
Prime Factorization of 77225
Prime factors of 77225 are 5, 3089. Prime factorization of 77225 in exponential form is:
77225 = 52 × 30891
Prime Factorization of 77241
Prime factors of 77241 are 3, 25747. Prime factorization of 77241 in exponential form is:
77241 = 31 × 257471
Now multiplying the highest exponent prime factors to calculate the LCM of 77225 and 77241.
LCM(77225,77241) = 52 × 30891 × 31 × 257471
LCM(77225,77241) = 5964936225
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