What is the Least Common Multiple of 77089 and 77093?
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 77093 is 5943022277.
LCM(77089,77093) = 5943022277
Least Common Multiple of 77089 and 77093 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 77093, than apply into the LCM equation.
GCF(77089,77093) = 1
LCM(77089,77093) = ( 77089 × 77093) / 1
LCM(77089,77093) = 5943022277 / 1
LCM(77089,77093) = 5943022277
Least Common Multiple (LCM) of 77089 and 77093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77089 and 77093. First we will calculate the prime factors of 77089 and 77093.
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 77093
Prime factors of 77093 are 77093. Prime factorization of 77093 in exponential form is:
77093 = 770931
Now multiplying the highest exponent prime factors to calculate the LCM of 77089 and 77093.
LCM(77089,77093) = 1271 × 6071 × 770931
LCM(77089,77093) = 5943022277
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