What is the Least Common Multiple of 60519 and 60527?
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 60519 and 60527 is 3663033513.
LCM(60519,60527) = 3663033513
Least Common Multiple of 60519 and 60527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60519 and 60527, than apply into the LCM equation.
GCF(60519,60527) = 1
LCM(60519,60527) = ( 60519 × 60527) / 1
LCM(60519,60527) = 3663033513 / 1
LCM(60519,60527) = 3663033513
Least Common Multiple (LCM) of 60519 and 60527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60519 and 60527. First we will calculate the prime factors of 60519 and 60527.
Prime Factorization of 60519
Prime factors of 60519 are 3, 20173. Prime factorization of 60519 in exponential form is:
60519 = 31 × 201731
Prime Factorization of 60527
Prime factors of 60527 are 60527. Prime factorization of 60527 in exponential form is:
60527 = 605271
Now multiplying the highest exponent prime factors to calculate the LCM of 60519 and 60527.
LCM(60519,60527) = 31 × 201731 × 605271
LCM(60519,60527) = 3663033513
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