What is the Least Common Multiple of 68344 and 68362?

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 68362 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 68362, than apply into the LCM equation.

GCF(68344,68362) = 2
LCM(68344,68362) = ( 68344 × 68362) / 2
LCM(68344,68362) = 4672132528 / 2
LCM(68344,68362) = 2336066264

Least Common Multiple (LCM) of 68344 and 68362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68344 and 68362. First we will calculate the prime factors of 68344 and 68362.

Prime Factorization of 68344

Prime Factorization of 68362

Now multiplying the highest exponent prime factors to calculate the LCM of 68344 and 68362.

LCM(68344,68362) = 2³ × 8543¹ × 7¹ × 19¹ × 257¹
LCM(68344,68362) = 2336066264