What is the Least Common Multiple of 68380 and 68384?

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 68380 and 68384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68380 and 68384, than apply into the LCM equation.

GCF(68380,68384) = 4
LCM(68380,68384) = ( 68380 × 68384) / 4
LCM(68380,68384) = 4676097920 / 4
LCM(68380,68384) = 1169024480

Least Common Multiple (LCM) of 68380 and 68384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68380 and 68384. First we will calculate the prime factors of 68380 and 68384.

Prime Factorization of 68380

Prime Factorization of 68384

Now multiplying the highest exponent prime factors to calculate the LCM of 68380 and 68384.

LCM(68380,68384) = 2⁵ × 5¹ × 13¹ × 263¹ × 2137¹
LCM(68380,68384) = 1169024480