What is the Least Common Multiple of 77055 and 77068?
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 77055 and 77068 is 5938474740.
LCM(77055,77068) = 5938474740
Least Common Multiple of 77055 and 77068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77055 and 77068, than apply into the LCM equation.
GCF(77055,77068) = 1
LCM(77055,77068) = ( 77055 × 77068) / 1
LCM(77055,77068) = 5938474740 / 1
LCM(77055,77068) = 5938474740
Least Common Multiple (LCM) of 77055 and 77068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77055 and 77068. First we will calculate the prime factors of 77055 and 77068.
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
Prime Factorization of 77068
Prime factors of 77068 are 2, 19267. Prime factorization of 77068 in exponential form is:
77068 = 22 × 192671
Now multiplying the highest exponent prime factors to calculate the LCM of 77055 and 77068.
LCM(77055,77068) = 31 × 51 × 111 × 4671 × 22 × 192671
LCM(77055,77068) = 5938474740
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