What is the Least Common Multiple of 64830 and 64839?

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 64830 and 64839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64830 and 64839, than apply into the LCM equation.

GCF(64830,64839) = 3
LCM(64830,64839) = ( 64830 × 64839) / 3
LCM(64830,64839) = 4203512370 / 3
LCM(64830,64839) = 1401170790

Least Common Multiple (LCM) of 64830 and 64839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64830 and 64839. First we will calculate the prime factors of 64830 and 64839.

Prime Factorization of 64830

Prime Factorization of 64839

Now multiplying the highest exponent prime factors to calculate the LCM of 64830 and 64839.

LCM(64830,64839) = 2¹ × 3¹ × 5¹ × 2161¹ × 21613¹
LCM(64830,64839) = 1401170790