GCF and LCM Calculator Logo

What is the Least Common Multiple of 68816 and 68830?

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 68816 and 68830 is 2368302640.

LCM(68816,68830) = 2368302640

LCM Calculator and
and

Least Common Multiple of 68816 and 68830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68816 and 68830, than apply into the LCM equation.

GCF(68816,68830) = 2
LCM(68816,68830) = ( 68816 × 68830) / 2
LCM(68816,68830) = 4736605280 / 2
LCM(68816,68830) = 2368302640

Least Common Multiple (LCM) of 68816 and 68830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68816 and 68830. First we will calculate the prime factors of 68816 and 68830.

Prime Factorization of 68816

Prime factors of 68816 are 2, 11, 17, 23. Prime factorization of 68816 in exponential form is:

68816 = 24 × 111 × 171 × 231

Prime Factorization of 68830

Prime factors of 68830 are 2, 5, 6883. Prime factorization of 68830 in exponential form is:

68830 = 21 × 51 × 68831

Now multiplying the highest exponent prime factors to calculate the LCM of 68816 and 68830.

LCM(68816,68830) = 24 × 111 × 171 × 231 × 51 × 68831
LCM(68816,68830) = 2368302640