GCF and LCM Calculator Logo

What is the Least Common Multiple of 68290 and 68296?

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 68290 and 68296 is 2331966920.

LCM(68290,68296) = 2331966920

LCM Calculator and
and

Least Common Multiple of 68290 and 68296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68290 and 68296, than apply into the LCM equation.

GCF(68290,68296) = 2
LCM(68290,68296) = ( 68290 × 68296) / 2
LCM(68290,68296) = 4663933840 / 2
LCM(68290,68296) = 2331966920

Least Common Multiple (LCM) of 68290 and 68296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68290 and 68296. First we will calculate the prime factors of 68290 and 68296.

Prime Factorization of 68290

Prime factors of 68290 are 2, 5, 6829. Prime factorization of 68290 in exponential form is:

68290 = 21 × 51 × 68291

Prime Factorization of 68296

Prime factors of 68296 are 2, 8537. Prime factorization of 68296 in exponential form is:

68296 = 23 × 85371

Now multiplying the highest exponent prime factors to calculate the LCM of 68290 and 68296.

LCM(68290,68296) = 23 × 51 × 68291 × 85371
LCM(68290,68296) = 2331966920