What is the Least Common Multiple of 68840 and 68858?

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 68840 and 68858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68840 and 68858, than apply into the LCM equation.

GCF(68840,68858) = 2
LCM(68840,68858) = ( 68840 × 68858) / 2
LCM(68840,68858) = 4740184720 / 2
LCM(68840,68858) = 2370092360

Least Common Multiple (LCM) of 68840 and 68858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68840 and 68858. First we will calculate the prime factors of 68840 and 68858.

Prime Factorization of 68840

Prime Factorization of 68858

Now multiplying the highest exponent prime factors to calculate the LCM of 68840 and 68858.

LCM(68840,68858) = 2³ × 5¹ × 1721¹ × 34429¹
LCM(68840,68858) = 2370092360