What is the Least Common Multiple of 77064 and 77078?
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 77078 is 2969969496.
LCM(77064,77078) = 2969969496
Least Common Multiple of 77064 and 77078 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 77078, than apply into the LCM equation.
GCF(77064,77078) = 2
LCM(77064,77078) = ( 77064 × 77078) / 2
LCM(77064,77078) = 5939938992 / 2
LCM(77064,77078) = 2969969496
Least Common Multiple (LCM) of 77064 and 77078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77064 and 77078. First we will calculate the prime factors of 77064 and 77078.
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 77078
Prime factors of 77078 are 2, 17, 2267. Prime factorization of 77078 in exponential form is:
77078 = 21 × 171 × 22671
Now multiplying the highest exponent prime factors to calculate the LCM of 77064 and 77078.
LCM(77064,77078) = 23 × 31 × 132 × 191 × 171 × 22671
LCM(77064,77078) = 2969969496
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