What is the Least Common Multiple of 62867 and 62878?
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 62867 and 62878 is 3952951226.
LCM(62867,62878) = 3952951226
Least Common Multiple of 62867 and 62878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62867 and 62878, than apply into the LCM equation.
GCF(62867,62878) = 1
LCM(62867,62878) = ( 62867 × 62878) / 1
LCM(62867,62878) = 3952951226 / 1
LCM(62867,62878) = 3952951226
Least Common Multiple (LCM) of 62867 and 62878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62867 and 62878. First we will calculate the prime factors of 62867 and 62878.
Prime Factorization of 62867
Prime factors of 62867 are 7, 1283. Prime factorization of 62867 in exponential form is:
62867 = 72 × 12831
Prime Factorization of 62878
Prime factors of 62878 are 2, 149, 211. Prime factorization of 62878 in exponential form is:
62878 = 21 × 1491 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 62867 and 62878.
LCM(62867,62878) = 72 × 12831 × 21 × 1491 × 2111
LCM(62867,62878) = 3952951226
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