What is the Least Common Multiple of 68854 and 68874?

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 68854 and 68874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68854 and 68874, than apply into the LCM equation.

GCF(68854,68874) = 2
LCM(68854,68874) = ( 68854 × 68874) / 2
LCM(68854,68874) = 4742250396 / 2
LCM(68854,68874) = 2371125198

Least Common Multiple (LCM) of 68854 and 68874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68854 and 68874. First we will calculate the prime factors of 68854 and 68874.

Prime Factorization of 68854

Prime Factorization of 68874

Now multiplying the highest exponent prime factors to calculate the LCM of 68854 and 68874.

LCM(68854,68874) = 2¹ × 173¹ × 199¹ × 3¹ × 13¹ × 883¹
LCM(68854,68874) = 2371125198