What is the Least Common Multiple of 67890 and 67894?

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 67890 and 67894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67890 and 67894, than apply into the LCM equation.

GCF(67890,67894) = 2
LCM(67890,67894) = ( 67890 × 67894) / 2
LCM(67890,67894) = 4609323660 / 2
LCM(67890,67894) = 2304661830

Least Common Multiple (LCM) of 67890 and 67894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67890 and 67894. First we will calculate the prime factors of 67890 and 67894.

Prime Factorization of 67890

Prime Factorization of 67894

Now multiplying the highest exponent prime factors to calculate the LCM of 67890 and 67894.

LCM(67890,67894) = 2¹ × 3¹ × 5¹ × 31¹ × 73¹ × 83¹ × 409¹
LCM(67890,67894) = 2304661830