GCF and LCM Calculator Logo

What is the Least Common Multiple of 68751 and 68760?

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 68751 and 68760 is 525257640.

LCM(68751,68760) = 525257640

LCM Calculator and
and

Least Common Multiple of 68751 and 68760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68751 and 68760, than apply into the LCM equation.

GCF(68751,68760) = 9
LCM(68751,68760) = ( 68751 × 68760) / 9
LCM(68751,68760) = 4727318760 / 9
LCM(68751,68760) = 525257640

Least Common Multiple (LCM) of 68751 and 68760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68751 and 68760. First we will calculate the prime factors of 68751 and 68760.

Prime Factorization of 68751

Prime factors of 68751 are 3, 7639. Prime factorization of 68751 in exponential form is:

68751 = 32 × 76391

Prime Factorization of 68760

Prime factors of 68760 are 2, 3, 5, 191. Prime factorization of 68760 in exponential form is:

68760 = 23 × 32 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 68751 and 68760.

LCM(68751,68760) = 32 × 76391 × 23 × 51 × 1911
LCM(68751,68760) = 525257640