What is the Least Common Multiple of 62216 and 62231?
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 62216 and 62231 is 3871763896.
LCM(62216,62231) = 3871763896
Least Common Multiple of 62216 and 62231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62216 and 62231, than apply into the LCM equation.
GCF(62216,62231) = 1
LCM(62216,62231) = ( 62216 × 62231) / 1
LCM(62216,62231) = 3871763896 / 1
LCM(62216,62231) = 3871763896
Least Common Multiple (LCM) of 62216 and 62231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62216 and 62231. First we will calculate the prime factors of 62216 and 62231.
Prime Factorization of 62216
Prime factors of 62216 are 2, 7, 11, 101. Prime factorization of 62216 in exponential form is:
62216 = 23 × 71 × 111 × 1011
Prime Factorization of 62231
Prime factors of 62231 are 13, 4787. Prime factorization of 62231 in exponential form is:
62231 = 131 × 47871
Now multiplying the highest exponent prime factors to calculate the LCM of 62216 and 62231.
LCM(62216,62231) = 23 × 71 × 111 × 1011 × 131 × 47871
LCM(62216,62231) = 3871763896
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