What is the Least Common Multiple of 66890 and 66904?

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 66890 and 66904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66890 and 66904, than apply into the LCM equation.

GCF(66890,66904) = 2
LCM(66890,66904) = ( 66890 × 66904) / 2
LCM(66890,66904) = 4475208560 / 2
LCM(66890,66904) = 2237604280

Least Common Multiple (LCM) of 66890 and 66904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66890 and 66904. First we will calculate the prime factors of 66890 and 66904.

Prime Factorization of 66890

Prime Factorization of 66904

Now multiplying the highest exponent prime factors to calculate the LCM of 66890 and 66904.

LCM(66890,66904) = 2³ × 5¹ × 6689¹ × 8363¹
LCM(66890,66904) = 2237604280