GCF and LCM Calculator Logo

What is the Least Common Multiple of 68760 and 68780?

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 68760 and 68780 is 236465640.

LCM(68760,68780) = 236465640

LCM Calculator and
and

Least Common Multiple of 68760 and 68780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68760 and 68780, than apply into the LCM equation.

GCF(68760,68780) = 20
LCM(68760,68780) = ( 68760 × 68780) / 20
LCM(68760,68780) = 4729312800 / 20
LCM(68760,68780) = 236465640

Least Common Multiple (LCM) of 68760 and 68780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68760 and 68780. First we will calculate the prime factors of 68760 and 68780.

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

Prime Factorization of 68780

Prime factors of 68780 are 2, 5, 19, 181. Prime factorization of 68780 in exponential form is:

68780 = 22 × 51 × 191 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 68760 and 68780.

LCM(68760,68780) = 23 × 32 × 51 × 1911 × 191 × 1811
LCM(68760,68780) = 236465640