What is the Least Common Multiple of 19040 and 19047?

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 19040 and 19047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19040 and 19047, than apply into the LCM equation.

GCF(19040,19047) = 7
LCM(19040,19047) = ( 19040 × 19047) / 7
LCM(19040,19047) = 362654880 / 7
LCM(19040,19047) = 51807840

Least Common Multiple (LCM) of 19040 and 19047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19040 and 19047. First we will calculate the prime factors of 19040 and 19047.

Prime Factorization of 19040

Prime Factorization of 19047

Now multiplying the highest exponent prime factors to calculate the LCM of 19040 and 19047.

LCM(19040,19047) = 2⁵ × 5¹ × 7¹ × 17¹ × 3¹ × 907¹
LCM(19040,19047) = 51807840