What is the Least Common Multiple of 1884 and 1896?

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 1884 and 1896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1884 and 1896, than apply into the LCM equation.

GCF(1884,1896) = 12
LCM(1884,1896) = ( 1884 × 1896) / 12
LCM(1884,1896) = 3572064 / 12
LCM(1884,1896) = 297672

Least Common Multiple (LCM) of 1884 and 1896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1884 and 1896. First we will calculate the prime factors of 1884 and 1896.

Prime Factorization of 1884

Prime Factorization of 1896

Now multiplying the highest exponent prime factors to calculate the LCM of 1884 and 1896.

LCM(1884,1896) = 2³ × 3¹ × 157¹ × 79¹
LCM(1884,1896) = 297672