What is the Least Common Multiple of 68364 and 68381?

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 68364 and 68381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68364 and 68381, than apply into the LCM equation.

GCF(68364,68381) = 1
LCM(68364,68381) = ( 68364 × 68381) / 1
LCM(68364,68381) = 4674798684 / 1
LCM(68364,68381) = 4674798684

Least Common Multiple (LCM) of 68364 and 68381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68364 and 68381. First we will calculate the prime factors of 68364 and 68381.

Prime Factorization of 68364

Prime Factorization of 68381

Now multiplying the highest exponent prime factors to calculate the LCM of 68364 and 68381.

LCM(68364,68381) = 2² × 3⁴ × 211¹ × 19¹ × 59¹ × 61¹
LCM(68364,68381) = 4674798684