What is the Least Common Multiple of 62771 and 62775?
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 62771 and 62775 is 3940449525.
LCM(62771,62775) = 3940449525
Least Common Multiple of 62771 and 62775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62771 and 62775, than apply into the LCM equation.
GCF(62771,62775) = 1
LCM(62771,62775) = ( 62771 × 62775) / 1
LCM(62771,62775) = 3940449525 / 1
LCM(62771,62775) = 3940449525
Least Common Multiple (LCM) of 62771 and 62775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62771 and 62775. First we will calculate the prime factors of 62771 and 62775.
Prime Factorization of 62771
Prime factors of 62771 are 41, 1531. Prime factorization of 62771 in exponential form is:
62771 = 411 × 15311
Prime Factorization of 62775
Prime factors of 62775 are 3, 5, 31. Prime factorization of 62775 in exponential form is:
62775 = 34 × 52 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 62771 and 62775.
LCM(62771,62775) = 411 × 15311 × 34 × 52 × 311
LCM(62771,62775) = 3940449525
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