GCF and LCM Calculator Logo

What is the Least Common Multiple of 85968 and 85978?

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 85968 and 85978 is 3695678352.

LCM(85968,85978) = 3695678352

LCM Calculator and
and

Least Common Multiple of 85968 and 85978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85968 and 85978, than apply into the LCM equation.

GCF(85968,85978) = 2
LCM(85968,85978) = ( 85968 × 85978) / 2
LCM(85968,85978) = 7391356704 / 2
LCM(85968,85978) = 3695678352

Least Common Multiple (LCM) of 85968 and 85978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85968 and 85978. First we will calculate the prime factors of 85968 and 85978.

Prime Factorization of 85968

Prime factors of 85968 are 2, 3, 199. Prime factorization of 85968 in exponential form is:

85968 = 24 × 33 × 1991

Prime Factorization of 85978

Prime factors of 85978 are 2, 42989. Prime factorization of 85978 in exponential form is:

85978 = 21 × 429891

Now multiplying the highest exponent prime factors to calculate the LCM of 85968 and 85978.

LCM(85968,85978) = 24 × 33 × 1991 × 429891
LCM(85968,85978) = 3695678352