GCF and LCM Calculator Logo

What is the Least Common Multiple of 43978 and 43996?

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 43978 and 43996 is 967428044.

LCM(43978,43996) = 967428044

LCM Calculator and
and

Least Common Multiple of 43978 and 43996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43978 and 43996, than apply into the LCM equation.

GCF(43978,43996) = 2
LCM(43978,43996) = ( 43978 × 43996) / 2
LCM(43978,43996) = 1934856088 / 2
LCM(43978,43996) = 967428044

Least Common Multiple (LCM) of 43978 and 43996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43978 and 43996. First we will calculate the prime factors of 43978 and 43996.

Prime Factorization of 43978

Prime factors of 43978 are 2, 11, 1999. Prime factorization of 43978 in exponential form is:

43978 = 21 × 111 × 19991

Prime Factorization of 43996

Prime factors of 43996 are 2, 17, 647. Prime factorization of 43996 in exponential form is:

43996 = 22 × 171 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 43978 and 43996.

LCM(43978,43996) = 22 × 111 × 19991 × 171 × 6471
LCM(43978,43996) = 967428044