What is the Least Common Multiple of 1938 and 1958?

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 1938 and 1958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1938 and 1958, than apply into the LCM equation.

GCF(1938,1958) = 2
LCM(1938,1958) = ( 1938 × 1958) / 2
LCM(1938,1958) = 3794604 / 2
LCM(1938,1958) = 1897302

Least Common Multiple (LCM) of 1938 and 1958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1958. First we will calculate the prime factors of 1938 and 1958.

Prime Factorization of 1938

Prime Factorization of 1958

Now multiplying the highest exponent prime factors to calculate the LCM of 1938 and 1958.

LCM(1938,1958) = 2¹ × 3¹ × 17¹ × 19¹ × 11¹ × 89¹
LCM(1938,1958) = 1897302