GCF and LCM Calculator Logo

What is the Least Common Multiple of 68256 and 68265?

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 68256 and 68265 is 517721760.

LCM(68256,68265) = 517721760

LCM Calculator and
and

Least Common Multiple of 68256 and 68265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68256 and 68265, than apply into the LCM equation.

GCF(68256,68265) = 9
LCM(68256,68265) = ( 68256 × 68265) / 9
LCM(68256,68265) = 4659495840 / 9
LCM(68256,68265) = 517721760

Least Common Multiple (LCM) of 68256 and 68265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68256 and 68265. First we will calculate the prime factors of 68256 and 68265.

Prime Factorization of 68256

Prime factors of 68256 are 2, 3, 79. Prime factorization of 68256 in exponential form is:

68256 = 25 × 33 × 791

Prime Factorization of 68265

Prime factors of 68265 are 3, 5, 37, 41. Prime factorization of 68265 in exponential form is:

68265 = 32 × 51 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68256 and 68265.

LCM(68256,68265) = 25 × 33 × 791 × 51 × 371 × 411
LCM(68256,68265) = 517721760