What is the Least Common Multiple of 68344 and 68354?

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 68344 and 68354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68344 and 68354, than apply into the LCM equation.

GCF(68344,68354) = 2
LCM(68344,68354) = ( 68344 × 68354) / 2
LCM(68344,68354) = 4671585776 / 2
LCM(68344,68354) = 2335792888

Least Common Multiple (LCM) of 68344 and 68354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68344 and 68354. First we will calculate the prime factors of 68344 and 68354.

Prime Factorization of 68344

Prime Factorization of 68354

Now multiplying the highest exponent prime factors to calculate the LCM of 68344 and 68354.

LCM(68344,68354) = 2³ × 8543¹ × 11¹ × 13¹ × 239¹
LCM(68344,68354) = 2335792888