What is the Least Common Multiple of 1928 and 1947?

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 1928 and 1947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1928 and 1947, than apply into the LCM equation.

GCF(1928,1947) = 1
LCM(1928,1947) = ( 1928 × 1947) / 1
LCM(1928,1947) = 3753816 / 1
LCM(1928,1947) = 3753816

Least Common Multiple (LCM) of 1928 and 1947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1947. First we will calculate the prime factors of 1928 and 1947.

Prime Factorization of 1928

Prime Factorization of 1947

Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1947.

LCM(1928,1947) = 2³ × 241¹ × 3¹ × 11¹ × 59¹
LCM(1928,1947) = 3753816