What is the Least Common Multiple of 68274 and 68281?

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 68274 and 68281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68274 and 68281, than apply into the LCM equation.

GCF(68274,68281) = 1
LCM(68274,68281) = ( 68274 × 68281) / 1
LCM(68274,68281) = 4661816994 / 1
LCM(68274,68281) = 4661816994

Least Common Multiple (LCM) of 68274 and 68281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68274 and 68281. First we will calculate the prime factors of 68274 and 68281.

Prime Factorization of 68274

Prime Factorization of 68281

Now multiplying the highest exponent prime factors to calculate the LCM of 68274 and 68281.

LCM(68274,68281) = 2¹ × 3² × 3793¹ × 68281¹
LCM(68274,68281) = 4661816994