What is the Least Common Multiple of 62838 and 62854?

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 62838 and 62854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62838 and 62854, than apply into the LCM equation.

GCF(62838,62854) = 2
LCM(62838,62854) = ( 62838 × 62854) / 2
LCM(62838,62854) = 3949619652 / 2
LCM(62838,62854) = 1974809826

Least Common Multiple (LCM) of 62838 and 62854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62838 and 62854. First we will calculate the prime factors of 62838 and 62854.

Prime Factorization of 62838

Prime Factorization of 62854

Now multiplying the highest exponent prime factors to calculate the LCM of 62838 and 62854.

LCM(62838,62854) = 2¹ × 3² × 3491¹ × 11¹ × 2857¹
LCM(62838,62854) = 1974809826