GCF and LCM Calculator Logo

What is the Least Common Multiple of 68880 and 68887?

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 68880 and 68887 is 677848080.

LCM(68880,68887) = 677848080

LCM Calculator and
and

Least Common Multiple of 68880 and 68887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68880 and 68887, than apply into the LCM equation.

GCF(68880,68887) = 7
LCM(68880,68887) = ( 68880 × 68887) / 7
LCM(68880,68887) = 4744936560 / 7
LCM(68880,68887) = 677848080

Least Common Multiple (LCM) of 68880 and 68887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68880 and 68887. First we will calculate the prime factors of 68880 and 68887.

Prime Factorization of 68880

Prime factors of 68880 are 2, 3, 5, 7, 41. Prime factorization of 68880 in exponential form is:

68880 = 24 × 31 × 51 × 71 × 411

Prime Factorization of 68887

Prime factors of 68887 are 7, 13, 757. Prime factorization of 68887 in exponential form is:

68887 = 71 × 131 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 68880 and 68887.

LCM(68880,68887) = 24 × 31 × 51 × 71 × 411 × 131 × 7571
LCM(68880,68887) = 677848080