What is the Least Common Multiple of 77225 and 77245?
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 77245 is 1193049025.
LCM(77225,77245) = 1193049025
Least Common Multiple of 77225 and 77245 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 77245, than apply into the LCM equation.
GCF(77225,77245) = 5
LCM(77225,77245) = ( 77225 × 77245) / 5
LCM(77225,77245) = 5965245125 / 5
LCM(77225,77245) = 1193049025
Least Common Multiple (LCM) of 77225 and 77245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77225 and 77245. First we will calculate the prime factors of 77225 and 77245.
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 77245
Prime factors of 77245 are 5, 7, 2207. Prime factorization of 77245 in exponential form is:
77245 = 51 × 71 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 77225 and 77245.
LCM(77225,77245) = 52 × 30891 × 71 × 22071
LCM(77225,77245) = 1193049025
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