What is the Least Common Multiple of 59711 and 59716?
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 59711 and 59716 is 3565702076.
LCM(59711,59716) = 3565702076
Least Common Multiple of 59711 and 59716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59711 and 59716, than apply into the LCM equation.
GCF(59711,59716) = 1
LCM(59711,59716) = ( 59711 × 59716) / 1
LCM(59711,59716) = 3565702076 / 1
LCM(59711,59716) = 3565702076
Least Common Multiple (LCM) of 59711 and 59716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59711 and 59716. First we will calculate the prime factors of 59711 and 59716.
Prime Factorization of 59711
Prime factors of 59711 are 29, 71. Prime factorization of 59711 in exponential form is:
59711 = 292 × 711
Prime Factorization of 59716
Prime factors of 59716 are 2, 14929. Prime factorization of 59716 in exponential form is:
59716 = 22 × 149291
Now multiplying the highest exponent prime factors to calculate the LCM of 59711 and 59716.
LCM(59711,59716) = 292 × 711 × 22 × 149291
LCM(59711,59716) = 3565702076
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