What is the Least Common Multiple of 60779 and 60785?
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 60779 and 60785 is 3694451515.
LCM(60779,60785) = 3694451515
Least Common Multiple of 60779 and 60785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60779 and 60785, than apply into the LCM equation.
GCF(60779,60785) = 1
LCM(60779,60785) = ( 60779 × 60785) / 1
LCM(60779,60785) = 3694451515 / 1
LCM(60779,60785) = 3694451515
Least Common Multiple (LCM) of 60779 and 60785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60779 and 60785. First we will calculate the prime factors of 60779 and 60785.
Prime Factorization of 60779
Prime factors of 60779 are 60779. Prime factorization of 60779 in exponential form is:
60779 = 607791
Prime Factorization of 60785
Prime factors of 60785 are 5, 12157. Prime factorization of 60785 in exponential form is:
60785 = 51 × 121571
Now multiplying the highest exponent prime factors to calculate the LCM of 60779 and 60785.
LCM(60779,60785) = 607791 × 51 × 121571
LCM(60779,60785) = 3694451515
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