What is the Least Common Multiple of 60817 and 60833?
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 60817 and 60833 is 3699680561.
LCM(60817,60833) = 3699680561
Least Common Multiple of 60817 and 60833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60817 and 60833, than apply into the LCM equation.
GCF(60817,60833) = 1
LCM(60817,60833) = ( 60817 × 60833) / 1
LCM(60817,60833) = 3699680561 / 1
LCM(60817,60833) = 3699680561
Least Common Multiple (LCM) of 60817 and 60833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60817 and 60833. First we will calculate the prime factors of 60817 and 60833.
Prime Factorization of 60817
Prime factors of 60817 are 61, 997. Prime factorization of 60817 in exponential form is:
60817 = 611 × 9971
Prime Factorization of 60833
Prime factors of 60833 are 127, 479. Prime factorization of 60833 in exponential form is:
60833 = 1271 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 60817 and 60833.
LCM(60817,60833) = 611 × 9971 × 1271 × 4791
LCM(60817,60833) = 3699680561
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