What is the Least Common Multiple of 60982 and 60999?
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 60982 and 60999 is 3719841018.
LCM(60982,60999) = 3719841018
Least Common Multiple of 60982 and 60999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60982 and 60999, than apply into the LCM equation.
GCF(60982,60999) = 1
LCM(60982,60999) = ( 60982 × 60999) / 1
LCM(60982,60999) = 3719841018 / 1
LCM(60982,60999) = 3719841018
Least Common Multiple (LCM) of 60982 and 60999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60982 and 60999. First we will calculate the prime factors of 60982 and 60999.
Prime Factorization of 60982
Prime factors of 60982 are 2, 30491. Prime factorization of 60982 in exponential form is:
60982 = 21 × 304911
Prime Factorization of 60999
Prime factors of 60999 are 3, 20333. Prime factorization of 60999 in exponential form is:
60999 = 31 × 203331
Now multiplying the highest exponent prime factors to calculate the LCM of 60982 and 60999.
LCM(60982,60999) = 21 × 304911 × 31 × 203331
LCM(60982,60999) = 3719841018
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