What is the Least Common Multiple of 60073 and 60081?
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 60073 and 60081 is 3609245913.
LCM(60073,60081) = 3609245913
Least Common Multiple of 60073 and 60081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60073 and 60081, than apply into the LCM equation.
GCF(60073,60081) = 1
LCM(60073,60081) = ( 60073 × 60081) / 1
LCM(60073,60081) = 3609245913 / 1
LCM(60073,60081) = 3609245913
Least Common Multiple (LCM) of 60073 and 60081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60073 and 60081. First we will calculate the prime factors of 60073 and 60081.
Prime Factorization of 60073
Prime factors of 60073 are 13, 4621. Prime factorization of 60073 in exponential form is:
60073 = 131 × 46211
Prime Factorization of 60081
Prime factors of 60081 are 3, 7, 2861. Prime factorization of 60081 in exponential form is:
60081 = 31 × 71 × 28611
Now multiplying the highest exponent prime factors to calculate the LCM of 60073 and 60081.
LCM(60073,60081) = 131 × 46211 × 31 × 71 × 28611
LCM(60073,60081) = 3609245913
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