What is the Least Common Multiple of 62826 and 62840?

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 62826 and 62840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62826 and 62840, than apply into the LCM equation.

GCF(62826,62840) = 2
LCM(62826,62840) = ( 62826 × 62840) / 2
LCM(62826,62840) = 3947985840 / 2
LCM(62826,62840) = 1973992920

Least Common Multiple (LCM) of 62826 and 62840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62826 and 62840. First we will calculate the prime factors of 62826 and 62840.

Prime Factorization of 62826

Prime Factorization of 62840

Now multiplying the highest exponent prime factors to calculate the LCM of 62826 and 62840.

LCM(62826,62840) = 2³ × 3¹ × 37¹ × 283¹ × 5¹ × 1571¹
LCM(62826,62840) = 1973992920