What is the Least Common Multiple of 62546 and 62555?
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 62546 and 62555 is 3912565030.
LCM(62546,62555) = 3912565030
Least Common Multiple of 62546 and 62555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62546 and 62555, than apply into the LCM equation.
GCF(62546,62555) = 1
LCM(62546,62555) = ( 62546 × 62555) / 1
LCM(62546,62555) = 3912565030 / 1
LCM(62546,62555) = 3912565030
Least Common Multiple (LCM) of 62546 and 62555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62546 and 62555. First we will calculate the prime factors of 62546 and 62555.
Prime Factorization of 62546
Prime factors of 62546 are 2, 11, 2843. Prime factorization of 62546 in exponential form is:
62546 = 21 × 111 × 28431
Prime Factorization of 62555
Prime factors of 62555 are 5, 12511. Prime factorization of 62555 in exponential form is:
62555 = 51 × 125111
Now multiplying the highest exponent prime factors to calculate the LCM of 62546 and 62555.
LCM(62546,62555) = 21 × 111 × 28431 × 51 × 125111
LCM(62546,62555) = 3912565030
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