What is the Least Common Multiple of 57697 and 57711?
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 57697 and 57711 is 3329751567.
LCM(57697,57711) = 3329751567
Least Common Multiple of 57697 and 57711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57697 and 57711, than apply into the LCM equation.
GCF(57697,57711) = 1
LCM(57697,57711) = ( 57697 × 57711) / 1
LCM(57697,57711) = 3329751567 / 1
LCM(57697,57711) = 3329751567
Least Common Multiple (LCM) of 57697 and 57711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57697 and 57711. First we will calculate the prime factors of 57697 and 57711.
Prime Factorization of 57697
Prime factors of 57697 are 57697. Prime factorization of 57697 in exponential form is:
57697 = 576971
Prime Factorization of 57711
Prime factors of 57711 are 3, 19237. Prime factorization of 57711 in exponential form is:
57711 = 31 × 192371
Now multiplying the highest exponent prime factors to calculate the LCM of 57697 and 57711.
LCM(57697,57711) = 576971 × 31 × 192371
LCM(57697,57711) = 3329751567
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