What is the Least Common Multiple of 77789 and 77795?
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 77789 and 77795 is 6051595255.
LCM(77789,77795) = 6051595255
Least Common Multiple of 77789 and 77795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77789 and 77795, than apply into the LCM equation.
GCF(77789,77795) = 1
LCM(77789,77795) = ( 77789 × 77795) / 1
LCM(77789,77795) = 6051595255 / 1
LCM(77789,77795) = 6051595255
Least Common Multiple (LCM) of 77789 and 77795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77789 and 77795. First we will calculate the prime factors of 77789 and 77795.
Prime Factorization of 77789
Prime factors of 77789 are 107, 727. Prime factorization of 77789 in exponential form is:
77789 = 1071 × 7271
Prime Factorization of 77795
Prime factors of 77795 are 5, 15559. Prime factorization of 77795 in exponential form is:
77795 = 51 × 155591
Now multiplying the highest exponent prime factors to calculate the LCM of 77789 and 77795.
LCM(77789,77795) = 1071 × 7271 × 51 × 155591
LCM(77789,77795) = 6051595255
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