What is the Least Common Multiple of 77704 and 77711?
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 77704 and 77711 is 6038455544.
LCM(77704,77711) = 6038455544
Least Common Multiple of 77704 and 77711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77704 and 77711, than apply into the LCM equation.
GCF(77704,77711) = 1
LCM(77704,77711) = ( 77704 × 77711) / 1
LCM(77704,77711) = 6038455544 / 1
LCM(77704,77711) = 6038455544
Least Common Multiple (LCM) of 77704 and 77711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77704 and 77711. First we will calculate the prime factors of 77704 and 77711.
Prime Factorization of 77704
Prime factors of 77704 are 2, 11, 883. Prime factorization of 77704 in exponential form is:
77704 = 23 × 111 × 8831
Prime Factorization of 77711
Prime factors of 77711 are 77711. Prime factorization of 77711 in exponential form is:
77711 = 777111
Now multiplying the highest exponent prime factors to calculate the LCM of 77704 and 77711.
LCM(77704,77711) = 23 × 111 × 8831 × 777111
LCM(77704,77711) = 6038455544
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