What is the Least Common Multiple of 54080 and 54089?
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 54080 and 54089 is 2925133120.
LCM(54080,54089) = 2925133120
Least Common Multiple of 54080 and 54089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54080 and 54089, than apply into the LCM equation.
GCF(54080,54089) = 1
LCM(54080,54089) = ( 54080 × 54089) / 1
LCM(54080,54089) = 2925133120 / 1
LCM(54080,54089) = 2925133120
Least Common Multiple (LCM) of 54080 and 54089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54080 and 54089. First we will calculate the prime factors of 54080 and 54089.
Prime Factorization of 54080
Prime factors of 54080 are 2, 5, 13. Prime factorization of 54080 in exponential form is:
54080 = 26 × 51 × 132
Prime Factorization of 54089
Prime factors of 54089 are 7, 7727. Prime factorization of 54089 in exponential form is:
54089 = 71 × 77271
Now multiplying the highest exponent prime factors to calculate the LCM of 54080 and 54089.
LCM(54080,54089) = 26 × 51 × 132 × 71 × 77271
LCM(54080,54089) = 2925133120
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