What is the Least Common Multiple of 62201 and 62210?
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 62201 and 62210 is 3869524210.
LCM(62201,62210) = 3869524210
Least Common Multiple of 62201 and 62210 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62201 and 62210, than apply into the LCM equation.
GCF(62201,62210) = 1
LCM(62201,62210) = ( 62201 × 62210) / 1
LCM(62201,62210) = 3869524210 / 1
LCM(62201,62210) = 3869524210
Least Common Multiple (LCM) of 62201 and 62210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62201 and 62210. First we will calculate the prime factors of 62201 and 62210.
Prime Factorization of 62201
Prime factors of 62201 are 62201. Prime factorization of 62201 in exponential form is:
62201 = 622011
Prime Factorization of 62210
Prime factors of 62210 are 2, 5, 6221. Prime factorization of 62210 in exponential form is:
62210 = 21 × 51 × 62211
Now multiplying the highest exponent prime factors to calculate the LCM of 62201 and 62210.
LCM(62201,62210) = 622011 × 21 × 51 × 62211
LCM(62201,62210) = 3869524210
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