What is the Least Common Multiple of 59916 and 59936?
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 59916 and 59936 is 897781344.
LCM(59916,59936) = 897781344
Least Common Multiple of 59916 and 59936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59916 and 59936, than apply into the LCM equation.
GCF(59916,59936) = 4
LCM(59916,59936) = ( 59916 × 59936) / 4
LCM(59916,59936) = 3591125376 / 4
LCM(59916,59936) = 897781344
Least Common Multiple (LCM) of 59916 and 59936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59916 and 59936. First we will calculate the prime factors of 59916 and 59936.
Prime Factorization of 59916
Prime factors of 59916 are 2, 3, 4993. Prime factorization of 59916 in exponential form is:
59916 = 22 × 31 × 49931
Prime Factorization of 59936
Prime factors of 59936 are 2, 1873. Prime factorization of 59936 in exponential form is:
59936 = 25 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 59916 and 59936.
LCM(59916,59936) = 25 × 31 × 49931 × 18731
LCM(59916,59936) = 897781344
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