GCF and LCM Calculator Logo

What is the Least Common Multiple of 68381 and 68400?

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 (LCM) of 68381 and 68400 is 246171600.

LCM(68381,68400) = 246171600

LCM Calculator and
and

Least Common Multiple of 68381 and 68400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68381 and 68400, than apply into the LCM equation.

GCF(68381,68400) = 19
LCM(68381,68400) = ( 68381 × 68400) / 19
LCM(68381,68400) = 4677260400 / 19
LCM(68381,68400) = 246171600

Least Common Multiple (LCM) of 68381 and 68400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68381 and 68400. First we will calculate the prime factors of 68381 and 68400.

Prime Factorization of 68381

Prime factors of 68381 are 19, 59, 61. Prime factorization of 68381 in exponential form is:

68381 = 191 × 591 × 611

Prime Factorization of 68400

Prime factors of 68400 are 2, 3, 5, 19. Prime factorization of 68400 in exponential form is:

68400 = 24 × 32 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 68381 and 68400.

LCM(68381,68400) = 191 × 591 × 611 × 24 × 32 × 52
LCM(68381,68400) = 246171600