GCF and LCM Calculator Logo

What is the Least Common Multiple of 1947 and 1964?

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 (LCM) of 1947 and 1964 is 3823908.

LCM(1947,1964) = 3823908

LCM Calculator and
and

Least Common Multiple of 1947 and 1964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1947 and 1964, than apply into the LCM equation.

GCF(1947,1964) = 1
LCM(1947,1964) = ( 1947 × 1964) / 1
LCM(1947,1964) = 3823908 / 1
LCM(1947,1964) = 3823908

Least Common Multiple (LCM) of 1947 and 1964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1947 and 1964. First we will calculate the prime factors of 1947 and 1964.

Prime Factorization of 1947

Prime factors of 1947 are 3, 11, 59. Prime factorization of 1947 in exponential form is:

1947 = 31 × 111 × 591

Prime Factorization of 1964

Prime factors of 1964 are 2, 491. Prime factorization of 1964 in exponential form is:

1964 = 22 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 1947 and 1964.

LCM(1947,1964) = 31 × 111 × 591 × 22 × 4911
LCM(1947,1964) = 3823908