GCF and LCM Calculator Logo

What is the Least Common Multiple of 68262 and 68271?

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 68262 and 68271 is 1553438334.

LCM(68262,68271) = 1553438334

LCM Calculator and
and

Least Common Multiple of 68262 and 68271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68262 and 68271, than apply into the LCM equation.

GCF(68262,68271) = 3
LCM(68262,68271) = ( 68262 × 68271) / 3
LCM(68262,68271) = 4660315002 / 3
LCM(68262,68271) = 1553438334

Least Common Multiple (LCM) of 68262 and 68271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68262 and 68271. First we will calculate the prime factors of 68262 and 68271.

Prime Factorization of 68262

Prime factors of 68262 are 2, 3, 31, 367. Prime factorization of 68262 in exponential form is:

68262 = 21 × 31 × 311 × 3671

Prime Factorization of 68271

Prime factors of 68271 are 3, 7, 3251. Prime factorization of 68271 in exponential form is:

68271 = 31 × 71 × 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 68262 and 68271.

LCM(68262,68271) = 21 × 31 × 311 × 3671 × 71 × 32511
LCM(68262,68271) = 1553438334