What is the Least Common Multiple of 60518 and 60533?
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 60518 and 60533 is 3663336094.
LCM(60518,60533) = 3663336094
Least Common Multiple of 60518 and 60533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60518 and 60533, than apply into the LCM equation.
GCF(60518,60533) = 1
LCM(60518,60533) = ( 60518 × 60533) / 1
LCM(60518,60533) = 3663336094 / 1
LCM(60518,60533) = 3663336094
Least Common Multiple (LCM) of 60518 and 60533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60518 and 60533. First we will calculate the prime factors of 60518 and 60533.
Prime Factorization of 60518
Prime factors of 60518 are 2, 30259. Prime factorization of 60518 in exponential form is:
60518 = 21 × 302591
Prime Factorization of 60533
Prime factors of 60533 are 11, 5503. Prime factorization of 60533 in exponential form is:
60533 = 111 × 55031
Now multiplying the highest exponent prime factors to calculate the LCM of 60518 and 60533.
LCM(60518,60533) = 21 × 302591 × 111 × 55031
LCM(60518,60533) = 3663336094
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