What is the Least Common Multiple of 7775 and 7779?
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 7775 and 7779 is 60481725.
LCM(7775,7779) = 60481725
Least Common Multiple of 7775 and 7779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7775 and 7779, than apply into the LCM equation.
GCF(7775,7779) = 1
LCM(7775,7779) = ( 7775 × 7779) / 1
LCM(7775,7779) = 60481725 / 1
LCM(7775,7779) = 60481725
Least Common Multiple (LCM) of 7775 and 7779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7775 and 7779. First we will calculate the prime factors of 7775 and 7779.
Prime Factorization of 7775
Prime factors of 7775 are 5, 311. Prime factorization of 7775 in exponential form is:
7775 = 52 × 3111
Prime Factorization of 7779
Prime factors of 7779 are 3, 2593. Prime factorization of 7779 in exponential form is:
7779 = 31 × 25931
Now multiplying the highest exponent prime factors to calculate the LCM of 7775 and 7779.
LCM(7775,7779) = 52 × 3111 × 31 × 25931
LCM(7775,7779) = 60481725
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