What is the Least Common Multiple of 67890 and 67908?

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 67908 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 67908, than apply into the LCM equation.

GCF(67890,67908) = 6
LCM(67890,67908) = ( 67890 × 67908) / 6
LCM(67890,67908) = 4610274120 / 6
LCM(67890,67908) = 768379020

Least Common Multiple (LCM) of 67890 and 67908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67890 and 67908. First we will calculate the prime factors of 67890 and 67908.

Prime Factorization of 67890

Prime Factorization of 67908

Now multiplying the highest exponent prime factors to calculate the LCM of 67890 and 67908.

LCM(67890,67908) = 2² × 3¹ × 5¹ × 31¹ × 73¹ × 5659¹
LCM(67890,67908) = 768379020