What is the Least Common Multiple of 68459 and 68476?

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 68459 and 68476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68459 and 68476, than apply into the LCM equation.

GCF(68459,68476) = 17
LCM(68459,68476) = ( 68459 × 68476) / 17
LCM(68459,68476) = 4687798484 / 17
LCM(68459,68476) = 275752852

Least Common Multiple (LCM) of 68459 and 68476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68459 and 68476. First we will calculate the prime factors of 68459 and 68476.

Prime Factorization of 68459

Prime Factorization of 68476

Now multiplying the highest exponent prime factors to calculate the LCM of 68459 and 68476.

LCM(68459,68476) = 17¹ × 4027¹ × 2² × 19¹ × 53¹
LCM(68459,68476) = 275752852