What is the Least Common Multiple of 60765 and 60771?
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 60765 and 60771 is 1230916605.
LCM(60765,60771) = 1230916605
Least Common Multiple of 60765 and 60771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60765 and 60771, than apply into the LCM equation.
GCF(60765,60771) = 3
LCM(60765,60771) = ( 60765 × 60771) / 3
LCM(60765,60771) = 3692749815 / 3
LCM(60765,60771) = 1230916605
Least Common Multiple (LCM) of 60765 and 60771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60765 and 60771. First we will calculate the prime factors of 60765 and 60771.
Prime Factorization of 60765
Prime factors of 60765 are 3, 5, 4051. Prime factorization of 60765 in exponential form is:
60765 = 31 × 51 × 40511
Prime Factorization of 60771
Prime factors of 60771 are 3, 47, 431. Prime factorization of 60771 in exponential form is:
60771 = 31 × 471 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 60765 and 60771.
LCM(60765,60771) = 31 × 51 × 40511 × 471 × 4311
LCM(60765,60771) = 1230916605
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