What is the Least Common Multiple of 68441 and 68453?

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 of 68441 and 68453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68441 and 68453, than apply into the LCM equation.

GCF(68441,68453) = 1
LCM(68441,68453) = ( 68441 × 68453) / 1
LCM(68441,68453) = 4684991773 / 1
LCM(68441,68453) = 4684991773

Least Common Multiple (LCM) of 68441 and 68453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68441 and 68453. First we will calculate the prime factors of 68441 and 68453.

Prime Factorization of 68441

Prime Factorization of 68453

Now multiplying the highest exponent prime factors to calculate the LCM of 68441 and 68453.

LCM(68441,68453) = 89¹ × 769¹ × 7² × 11¹ × 127¹
LCM(68441,68453) = 4684991773