What is the Least Common Multiple of 55411 and 55430?
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 55411 and 55430 is 3071431730.
LCM(55411,55430) = 3071431730
Least Common Multiple of 55411 and 55430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55411 and 55430, than apply into the LCM equation.
GCF(55411,55430) = 1
LCM(55411,55430) = ( 55411 × 55430) / 1
LCM(55411,55430) = 3071431730 / 1
LCM(55411,55430) = 3071431730
Least Common Multiple (LCM) of 55411 and 55430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55411 and 55430. First we will calculate the prime factors of 55411 and 55430.
Prime Factorization of 55411
Prime factors of 55411 are 55411. Prime factorization of 55411 in exponential form is:
55411 = 554111
Prime Factorization of 55430
Prime factors of 55430 are 2, 5, 23, 241. Prime factorization of 55430 in exponential form is:
55430 = 21 × 51 × 231 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 55411 and 55430.
LCM(55411,55430) = 554111 × 21 × 51 × 231 × 2411
LCM(55411,55430) = 3071431730
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