What is the Least Common Multiple of 57680 and 57697?
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 57680 and 57697 is 3327962960.
LCM(57680,57697) = 3327962960
Least Common Multiple of 57680 and 57697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57680 and 57697, than apply into the LCM equation.
GCF(57680,57697) = 1
LCM(57680,57697) = ( 57680 × 57697) / 1
LCM(57680,57697) = 3327962960 / 1
LCM(57680,57697) = 3327962960
Least Common Multiple (LCM) of 57680 and 57697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57680 and 57697. First we will calculate the prime factors of 57680 and 57697.
Prime Factorization of 57680
Prime factors of 57680 are 2, 5, 7, 103. Prime factorization of 57680 in exponential form is:
57680 = 24 × 51 × 71 × 1031
Prime Factorization of 57697
Prime factors of 57697 are 57697. Prime factorization of 57697 in exponential form is:
57697 = 576971
Now multiplying the highest exponent prime factors to calculate the LCM of 57680 and 57697.
LCM(57680,57697) = 24 × 51 × 71 × 1031 × 576971
LCM(57680,57697) = 3327962960
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