GCF and LCM Calculator Logo

What is the Least Common Multiple of 68416 and 68420?

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 68416 and 68420 is 1170255680.

LCM(68416,68420) = 1170255680

LCM Calculator and
and

Least Common Multiple of 68416 and 68420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68416 and 68420, than apply into the LCM equation.

GCF(68416,68420) = 4
LCM(68416,68420) = ( 68416 × 68420) / 4
LCM(68416,68420) = 4681022720 / 4
LCM(68416,68420) = 1170255680

Least Common Multiple (LCM) of 68416 and 68420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68416 and 68420. First we will calculate the prime factors of 68416 and 68420.

Prime Factorization of 68416

Prime factors of 68416 are 2, 1069. Prime factorization of 68416 in exponential form is:

68416 = 26 × 10691

Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 22 × 51 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 68416 and 68420.

LCM(68416,68420) = 26 × 10691 × 51 × 111 × 3111
LCM(68416,68420) = 1170255680