What is the Least Common Multiple of 55418 and 55423?
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 55418 and 55423 is 3071431814.
LCM(55418,55423) = 3071431814
Least Common Multiple of 55418 and 55423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55418 and 55423, than apply into the LCM equation.
GCF(55418,55423) = 1
LCM(55418,55423) = ( 55418 × 55423) / 1
LCM(55418,55423) = 3071431814 / 1
LCM(55418,55423) = 3071431814
Least Common Multiple (LCM) of 55418 and 55423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55418 and 55423. First we will calculate the prime factors of 55418 and 55423.
Prime Factorization of 55418
Prime factors of 55418 are 2, 11, 229. Prime factorization of 55418 in exponential form is:
55418 = 21 × 112 × 2291
Prime Factorization of 55423
Prime factors of 55423 are 19, 2917. Prime factorization of 55423 in exponential form is:
55423 = 191 × 29171
Now multiplying the highest exponent prime factors to calculate the LCM of 55418 and 55423.
LCM(55418,55423) = 21 × 112 × 2291 × 191 × 29171
LCM(55418,55423) = 3071431814
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Related Least Common Multiples of 55423
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