What is the Least Common Multiple of 55716 and 55723?
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 55716 and 55723 is 3104662668.
LCM(55716,55723) = 3104662668
Least Common Multiple of 55716 and 55723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55716 and 55723, than apply into the LCM equation.
GCF(55716,55723) = 1
LCM(55716,55723) = ( 55716 × 55723) / 1
LCM(55716,55723) = 3104662668 / 1
LCM(55716,55723) = 3104662668
Least Common Multiple (LCM) of 55716 and 55723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55716 and 55723. First we will calculate the prime factors of 55716 and 55723.
Prime Factorization of 55716
Prime factors of 55716 are 2, 3, 4643. Prime factorization of 55716 in exponential form is:
55716 = 22 × 31 × 46431
Prime Factorization of 55723
Prime factors of 55723 are 103, 541. Prime factorization of 55723 in exponential form is:
55723 = 1031 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 55716 and 55723.
LCM(55716,55723) = 22 × 31 × 46431 × 1031 × 5411
LCM(55716,55723) = 3104662668
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