What is the Least Common Multiple of 60833 and 60853?
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 60833 and 60853 is 3701870549.
LCM(60833,60853) = 3701870549
Least Common Multiple of 60833 and 60853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60833 and 60853, than apply into the LCM equation.
GCF(60833,60853) = 1
LCM(60833,60853) = ( 60833 × 60853) / 1
LCM(60833,60853) = 3701870549 / 1
LCM(60833,60853) = 3701870549
Least Common Multiple (LCM) of 60833 and 60853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60833 and 60853. First we will calculate the prime factors of 60833 and 60853.
Prime Factorization of 60833
Prime factors of 60833 are 127, 479. Prime factorization of 60833 in exponential form is:
60833 = 1271 × 4791
Prime Factorization of 60853
Prime factors of 60853 are 13, 31, 151. Prime factorization of 60853 in exponential form is:
60853 = 131 × 311 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 60833 and 60853.
LCM(60833,60853) = 1271 × 4791 × 131 × 311 × 1511
LCM(60833,60853) = 3701870549
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