What is the Least Common Multiple of 55049 and 55069?
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 55049 and 55069 is 3031493381.
LCM(55049,55069) = 3031493381
Least Common Multiple of 55049 and 55069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55049 and 55069, than apply into the LCM equation.
GCF(55049,55069) = 1
LCM(55049,55069) = ( 55049 × 55069) / 1
LCM(55049,55069) = 3031493381 / 1
LCM(55049,55069) = 3031493381
Least Common Multiple (LCM) of 55049 and 55069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55049 and 55069. First we will calculate the prime factors of 55049 and 55069.
Prime Factorization of 55049
Prime factors of 55049 are 55049. Prime factorization of 55049 in exponential form is:
55049 = 550491
Prime Factorization of 55069
Prime factors of 55069 are 7, 7867. Prime factorization of 55069 in exponential form is:
55069 = 71 × 78671
Now multiplying the highest exponent prime factors to calculate the LCM of 55049 and 55069.
LCM(55049,55069) = 550491 × 71 × 78671
LCM(55049,55069) = 3031493381
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