What is the Least Common Multiple of 77064 and 77083?
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 77064 and 77083 is 312648648.
LCM(77064,77083) = 312648648
Least Common Multiple of 77064 and 77083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77064 and 77083, than apply into the LCM equation.
GCF(77064,77083) = 19
LCM(77064,77083) = ( 77064 × 77083) / 19
LCM(77064,77083) = 5940324312 / 19
LCM(77064,77083) = 312648648
Least Common Multiple (LCM) of 77064 and 77083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77064 and 77083. First we will calculate the prime factors of 77064 and 77083.
Prime Factorization of 77064
Prime factors of 77064 are 2, 3, 13, 19. Prime factorization of 77064 in exponential form is:
77064 = 23 × 31 × 132 × 191
Prime Factorization of 77083
Prime factors of 77083 are 19, 4057. Prime factorization of 77083 in exponential form is:
77083 = 191 × 40571
Now multiplying the highest exponent prime factors to calculate the LCM of 77064 and 77083.
LCM(77064,77083) = 23 × 31 × 132 × 191 × 40571
LCM(77064,77083) = 312648648
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