What is the Least Common Multiple of 68840 and 68855?

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 68855 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 68855, than apply into the LCM equation.

GCF(68840,68855) = 5
LCM(68840,68855) = ( 68840 × 68855) / 5
LCM(68840,68855) = 4739978200 / 5
LCM(68840,68855) = 947995640

Least Common Multiple (LCM) of 68840 and 68855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68840 and 68855. First we will calculate the prime factors of 68840 and 68855.

Prime Factorization of 68840

Prime Factorization of 68855

Now multiplying the highest exponent prime factors to calculate the LCM of 68840 and 68855.

LCM(68840,68855) = 2³ × 5¹ × 1721¹ × 47¹ × 293¹
LCM(68840,68855) = 947995640