What is the Least Common Multiple of 1889 and 1904?

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 1889 and 1904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1889 and 1904, than apply into the LCM equation.

GCF(1889,1904) = 1
LCM(1889,1904) = ( 1889 × 1904) / 1
LCM(1889,1904) = 3596656 / 1
LCM(1889,1904) = 3596656

Least Common Multiple (LCM) of 1889 and 1904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1889 and 1904. First we will calculate the prime factors of 1889 and 1904.

Prime Factorization of 1889

Prime Factorization of 1904

Now multiplying the highest exponent prime factors to calculate the LCM of 1889 and 1904.

LCM(1889,1904) = 1889¹ × 2⁴ × 7¹ × 17¹
LCM(1889,1904) = 3596656