What is the Least Common Multiple of 55723 and 55737?
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 55723 and 55737 is 3105832851.
LCM(55723,55737) = 3105832851
Least Common Multiple of 55723 and 55737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55723 and 55737, than apply into the LCM equation.
GCF(55723,55737) = 1
LCM(55723,55737) = ( 55723 × 55737) / 1
LCM(55723,55737) = 3105832851 / 1
LCM(55723,55737) = 3105832851
Least Common Multiple (LCM) of 55723 and 55737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55723 and 55737. First we will calculate the prime factors of 55723 and 55737.
Prime Factorization of 55723
Prime factors of 55723 are 103, 541. Prime factorization of 55723 in exponential form is:
55723 = 1031 × 5411
Prime Factorization of 55737
Prime factors of 55737 are 3, 11, 563. Prime factorization of 55737 in exponential form is:
55737 = 32 × 111 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 55723 and 55737.
LCM(55723,55737) = 1031 × 5411 × 32 × 111 × 5631
LCM(55723,55737) = 3105832851
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