What is the Least Common Multiple of 77049 and 77055?
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 77049 and 77055 is 1979003565.
LCM(77049,77055) = 1979003565
Least Common Multiple of 77049 and 77055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77049 and 77055, than apply into the LCM equation.
GCF(77049,77055) = 3
LCM(77049,77055) = ( 77049 × 77055) / 3
LCM(77049,77055) = 5937010695 / 3
LCM(77049,77055) = 1979003565
Least Common Multiple (LCM) of 77049 and 77055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77049 and 77055. First we will calculate the prime factors of 77049 and 77055.
Prime Factorization of 77049
Prime factors of 77049 are 3, 7, 1223. Prime factorization of 77049 in exponential form is:
77049 = 32 × 71 × 12231
Prime Factorization of 77055
Prime factors of 77055 are 3, 5, 11, 467. Prime factorization of 77055 in exponential form is:
77055 = 31 × 51 × 111 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 77049 and 77055.
LCM(77049,77055) = 32 × 71 × 12231 × 51 × 111 × 4671
LCM(77049,77055) = 1979003565
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