What is the Least Common Multiple of 60685 and 60694?
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 60685 and 60694 is 3683215390.
LCM(60685,60694) = 3683215390
Least Common Multiple of 60685 and 60694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60685 and 60694, than apply into the LCM equation.
GCF(60685,60694) = 1
LCM(60685,60694) = ( 60685 × 60694) / 1
LCM(60685,60694) = 3683215390 / 1
LCM(60685,60694) = 3683215390
Least Common Multiple (LCM) of 60685 and 60694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60685 and 60694. First we will calculate the prime factors of 60685 and 60694.
Prime Factorization of 60685
Prime factors of 60685 are 5, 53, 229. Prime factorization of 60685 in exponential form is:
60685 = 51 × 531 × 2291
Prime Factorization of 60694
Prime factors of 60694 are 2, 30347. Prime factorization of 60694 in exponential form is:
60694 = 21 × 303471
Now multiplying the highest exponent prime factors to calculate the LCM of 60685 and 60694.
LCM(60685,60694) = 51 × 531 × 2291 × 21 × 303471
LCM(60685,60694) = 3683215390
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