What is the Least Common Multiple of 77089 and 77094?
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 77089 and 77094 is 5943099366.
LCM(77089,77094) = 5943099366
Least Common Multiple of 77089 and 77094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77089 and 77094, than apply into the LCM equation.
GCF(77089,77094) = 1
LCM(77089,77094) = ( 77089 × 77094) / 1
LCM(77089,77094) = 5943099366 / 1
LCM(77089,77094) = 5943099366
Least Common Multiple (LCM) of 77089 and 77094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77089 and 77094. First we will calculate the prime factors of 77089 and 77094.
Prime Factorization of 77089
Prime factors of 77089 are 127, 607. Prime factorization of 77089 in exponential form is:
77089 = 1271 × 6071
Prime Factorization of 77094
Prime factors of 77094 are 2, 3, 4283. Prime factorization of 77094 in exponential form is:
77094 = 21 × 32 × 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 77089 and 77094.
LCM(77089,77094) = 1271 × 6071 × 21 × 32 × 42831
LCM(77089,77094) = 5943099366
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