What is the Least Common Multiple of 62853 and 62866?

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 of 62853 and 62866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62853 and 62866, than apply into the LCM equation.

GCF(62853,62866) = 1
LCM(62853,62866) = ( 62853 × 62866) / 1
LCM(62853,62866) = 3951316698 / 1
LCM(62853,62866) = 3951316698

Least Common Multiple (LCM) of 62853 and 62866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62853 and 62866. First we will calculate the prime factors of 62853 and 62866.

Prime Factorization of 62853

Prime Factorization of 62866

Now multiplying the highest exponent prime factors to calculate the LCM of 62853 and 62866.

LCM(62853,62866) = 3¹ × 7¹ × 41¹ × 73¹ × 2¹ × 17¹ × 43²
LCM(62853,62866) = 3951316698