What is the Least Common Multiple of 55601 and 55611?
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 55601 and 55611 is 3092027211.
LCM(55601,55611) = 3092027211
Least Common Multiple of 55601 and 55611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55601 and 55611, than apply into the LCM equation.
GCF(55601,55611) = 1
LCM(55601,55611) = ( 55601 × 55611) / 1
LCM(55601,55611) = 3092027211 / 1
LCM(55601,55611) = 3092027211
Least Common Multiple (LCM) of 55601 and 55611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55601 and 55611. First we will calculate the prime factors of 55601 and 55611.
Prime Factorization of 55601
Prime factors of 55601 are 7, 13, 47. Prime factorization of 55601 in exponential form is:
55601 = 71 × 132 × 471
Prime Factorization of 55611
Prime factors of 55611 are 3, 37, 167. Prime factorization of 55611 in exponential form is:
55611 = 32 × 371 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 55601 and 55611.
LCM(55601,55611) = 71 × 132 × 471 × 32 × 371 × 1671
LCM(55601,55611) = 3092027211
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