What is the Least Common Multiple of 1949 and 1966?

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 1949 and 1966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1949 and 1966, than apply into the LCM equation.

GCF(1949,1966) = 1
LCM(1949,1966) = ( 1949 × 1966) / 1
LCM(1949,1966) = 3831734 / 1
LCM(1949,1966) = 3831734

Least Common Multiple (LCM) of 1949 and 1966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1949 and 1966. First we will calculate the prime factors of 1949 and 1966.

Prime Factorization of 1949

Prime Factorization of 1966

Now multiplying the highest exponent prime factors to calculate the LCM of 1949 and 1966.

LCM(1949,1966) = 1949¹ × 2¹ × 983¹
LCM(1949,1966) = 3831734