What is the Least Common Multiple of 62827 and 62832?
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 62827 and 62832 is 3947546064.
LCM(62827,62832) = 3947546064
Least Common Multiple of 62827 and 62832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62827 and 62832, than apply into the LCM equation.
GCF(62827,62832) = 1
LCM(62827,62832) = ( 62827 × 62832) / 1
LCM(62827,62832) = 3947546064 / 1
LCM(62827,62832) = 3947546064
Least Common Multiple (LCM) of 62827 and 62832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62827 and 62832. First we will calculate the prime factors of 62827 and 62832.
Prime Factorization of 62827
Prime factors of 62827 are 62827. Prime factorization of 62827 in exponential form is:
62827 = 628271
Prime Factorization of 62832
Prime factors of 62832 are 2, 3, 7, 11, 17. Prime factorization of 62832 in exponential form is:
62832 = 24 × 31 × 71 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 62827 and 62832.
LCM(62827,62832) = 628271 × 24 × 31 × 71 × 111 × 171
LCM(62827,62832) = 3947546064
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