What is the Least Common Multiple of 60853 and 60858?
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 60853 and 60858 is 3703391874.
LCM(60853,60858) = 3703391874
Least Common Multiple of 60853 and 60858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60853 and 60858, than apply into the LCM equation.
GCF(60853,60858) = 1
LCM(60853,60858) = ( 60853 × 60858) / 1
LCM(60853,60858) = 3703391874 / 1
LCM(60853,60858) = 3703391874
Least Common Multiple (LCM) of 60853 and 60858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60853 and 60858. First we will calculate the prime factors of 60853 and 60858.
Prime Factorization of 60853
Prime factors of 60853 are 13, 31, 151. Prime factorization of 60853 in exponential form is:
60853 = 131 × 311 × 1511
Prime Factorization of 60858
Prime factors of 60858 are 2, 3, 7, 23. Prime factorization of 60858 in exponential form is:
60858 = 21 × 33 × 72 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 60853 and 60858.
LCM(60853,60858) = 131 × 311 × 1511 × 21 × 33 × 72 × 231
LCM(60853,60858) = 3703391874
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