What is the Least Common Multiple of 62837 and 62856?
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 62837 and 62856 is 3949682472.
LCM(62837,62856) = 3949682472
Least Common Multiple of 62837 and 62856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62837 and 62856, than apply into the LCM equation.
GCF(62837,62856) = 1
LCM(62837,62856) = ( 62837 × 62856) / 1
LCM(62837,62856) = 3949682472 / 1
LCM(62837,62856) = 3949682472
Least Common Multiple (LCM) of 62837 and 62856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62837 and 62856. First we will calculate the prime factors of 62837 and 62856.
Prime Factorization of 62837
Prime factors of 62837 are 31, 2027. Prime factorization of 62837 in exponential form is:
62837 = 311 × 20271
Prime Factorization of 62856
Prime factors of 62856 are 2, 3, 97. Prime factorization of 62856 in exponential form is:
62856 = 23 × 34 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 62837 and 62856.
LCM(62837,62856) = 311 × 20271 × 23 × 34 × 971
LCM(62837,62856) = 3949682472
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