What is the Least Common Multiple of 68505 and 68520?

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 68505 and 68520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68505 and 68520, than apply into the LCM equation.

GCF(68505,68520) = 15
LCM(68505,68520) = ( 68505 × 68520) / 15
LCM(68505,68520) = 4693962600 / 15
LCM(68505,68520) = 312930840

Least Common Multiple (LCM) of 68505 and 68520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68505 and 68520. First we will calculate the prime factors of 68505 and 68520.

Prime Factorization of 68505

Prime Factorization of 68520

Now multiplying the highest exponent prime factors to calculate the LCM of 68505 and 68520.

LCM(68505,68520) = 3¹ × 5¹ × 4567¹ × 2³ × 571¹
LCM(68505,68520) = 312930840