What is the Least Common Multiple of 60079 and 60086?
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 60079 and 60086 is 3609906794.
LCM(60079,60086) = 3609906794
Least Common Multiple of 60079 and 60086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60079 and 60086, than apply into the LCM equation.
GCF(60079,60086) = 1
LCM(60079,60086) = ( 60079 × 60086) / 1
LCM(60079,60086) = 3609906794 / 1
LCM(60079,60086) = 3609906794
Least Common Multiple (LCM) of 60079 and 60086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60079 and 60086. First we will calculate the prime factors of 60079 and 60086.
Prime Factorization of 60079
Prime factors of 60079 are 73, 823. Prime factorization of 60079 in exponential form is:
60079 = 731 × 8231
Prime Factorization of 60086
Prime factors of 60086 are 2, 13, 2311. Prime factorization of 60086 in exponential form is:
60086 = 21 × 131 × 23111
Now multiplying the highest exponent prime factors to calculate the LCM of 60079 and 60086.
LCM(60079,60086) = 731 × 8231 × 21 × 131 × 23111
LCM(60079,60086) = 3609906794
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