What is the Least Common Multiple of 1870 and 1888?

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 1870 and 1888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1870 and 1888, than apply into the LCM equation.

GCF(1870,1888) = 2
LCM(1870,1888) = ( 1870 × 1888) / 2
LCM(1870,1888) = 3530560 / 2
LCM(1870,1888) = 1765280

Least Common Multiple (LCM) of 1870 and 1888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1870 and 1888. First we will calculate the prime factors of 1870 and 1888.

Prime Factorization of 1870

Prime Factorization of 1888

Now multiplying the highest exponent prime factors to calculate the LCM of 1870 and 1888.

LCM(1870,1888) = 2⁵ × 5¹ × 11¹ × 17¹ × 59¹
LCM(1870,1888) = 1765280