What is the Least Common Multiple of 62185 and 62191?
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 62185 and 62191 is 3867347335.
LCM(62185,62191) = 3867347335
Least Common Multiple of 62185 and 62191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62185 and 62191, than apply into the LCM equation.
GCF(62185,62191) = 1
LCM(62185,62191) = ( 62185 × 62191) / 1
LCM(62185,62191) = 3867347335 / 1
LCM(62185,62191) = 3867347335
Least Common Multiple (LCM) of 62185 and 62191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62185 and 62191. First we will calculate the prime factors of 62185 and 62191.
Prime Factorization of 62185
Prime factors of 62185 are 5, 12437. Prime factorization of 62185 in exponential form is:
62185 = 51 × 124371
Prime Factorization of 62191
Prime factors of 62191 are 62191. Prime factorization of 62191 in exponential form is:
62191 = 621911
Now multiplying the highest exponent prime factors to calculate the LCM of 62185 and 62191.
LCM(62185,62191) = 51 × 124371 × 621911
LCM(62185,62191) = 3867347335
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