What is the Least Common Multiple of 62868 and 62872?
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 62868 and 62872 is 988159224.
LCM(62868,62872) = 988159224
Least Common Multiple of 62868 and 62872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62868 and 62872, than apply into the LCM equation.
GCF(62868,62872) = 4
LCM(62868,62872) = ( 62868 × 62872) / 4
LCM(62868,62872) = 3952636896 / 4
LCM(62868,62872) = 988159224
Least Common Multiple (LCM) of 62868 and 62872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62868 and 62872. First we will calculate the prime factors of 62868 and 62872.
Prime Factorization of 62868
Prime factors of 62868 are 2, 3, 13, 31. Prime factorization of 62868 in exponential form is:
62868 = 22 × 31 × 132 × 311
Prime Factorization of 62872
Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:
62872 = 23 × 291 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 62868 and 62872.
LCM(62868,62872) = 23 × 31 × 132 × 311 × 291 × 2711
LCM(62868,62872) = 988159224
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