GCF and LCM Calculator Logo

What is the Least Common Multiple of 1945 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 (LCM) of 1945 and 1958 is 3808310.

LCM(1945,1958) = 3808310

LCM Calculator and
and

Least Common Multiple of 1945 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 1945 and 1958, than apply into the LCM equation.

GCF(1945,1958) = 1
LCM(1945,1958) = ( 1945 × 1958) / 1
LCM(1945,1958) = 3808310 / 1
LCM(1945,1958) = 3808310

Least Common Multiple (LCM) of 1945 and 1958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1945 and 1958. First we will calculate the prime factors of 1945 and 1958.

Prime Factorization of 1945

Prime factors of 1945 are 5, 389. Prime factorization of 1945 in exponential form is:

1945 = 51 × 3891

Prime Factorization of 1958

Prime factors of 1958 are 2, 11, 89. Prime factorization of 1958 in exponential form is:

1958 = 21 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 1945 and 1958.

LCM(1945,1958) = 51 × 3891 × 21 × 111 × 891
LCM(1945,1958) = 3808310