What is the Least Common Multiple of 55373 and 55391?
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 55373 and 55391 is 3067165843.
LCM(55373,55391) = 3067165843
Least Common Multiple of 55373 and 55391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55373 and 55391, than apply into the LCM equation.
GCF(55373,55391) = 1
LCM(55373,55391) = ( 55373 × 55391) / 1
LCM(55373,55391) = 3067165843 / 1
LCM(55373,55391) = 3067165843
Least Common Multiple (LCM) of 55373 and 55391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55373 and 55391. First we will calculate the prime factors of 55373 and 55391.
Prime Factorization of 55373
Prime factors of 55373 are 55373. Prime factorization of 55373 in exponential form is:
55373 = 553731
Prime Factorization of 55391
Prime factors of 55391 are 7, 41, 193. Prime factorization of 55391 in exponential form is:
55391 = 71 × 411 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 55373 and 55391.
LCM(55373,55391) = 553731 × 71 × 411 × 1931
LCM(55373,55391) = 3067165843
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