What is the Least Common Multiple of 55056 and 55073?
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 55056 and 55073 is 3032099088.
LCM(55056,55073) = 3032099088
Least Common Multiple of 55056 and 55073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55056 and 55073, than apply into the LCM equation.
GCF(55056,55073) = 1
LCM(55056,55073) = ( 55056 × 55073) / 1
LCM(55056,55073) = 3032099088 / 1
LCM(55056,55073) = 3032099088
Least Common Multiple (LCM) of 55056 and 55073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55056 and 55073. First we will calculate the prime factors of 55056 and 55073.
Prime Factorization of 55056
Prime factors of 55056 are 2, 3, 31, 37. Prime factorization of 55056 in exponential form is:
55056 = 24 × 31 × 311 × 371
Prime Factorization of 55073
Prime factors of 55073 are 55073. Prime factorization of 55073 in exponential form is:
55073 = 550731
Now multiplying the highest exponent prime factors to calculate the LCM of 55056 and 55073.
LCM(55056,55073) = 24 × 31 × 311 × 371 × 550731
LCM(55056,55073) = 3032099088
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