What is the Least Common Multiple of 68475 and 68484?

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 68475 and 68484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68475 and 68484, than apply into the LCM equation.

GCF(68475,68484) = 3
LCM(68475,68484) = ( 68475 × 68484) / 3
LCM(68475,68484) = 4689441900 / 3
LCM(68475,68484) = 1563147300

Least Common Multiple (LCM) of 68475 and 68484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68475 and 68484. First we will calculate the prime factors of 68475 and 68484.

Prime Factorization of 68475

Prime Factorization of 68484

Now multiplying the highest exponent prime factors to calculate the LCM of 68475 and 68484.

LCM(68475,68484) = 3¹ × 5² × 11¹ × 83¹ × 2² × 13¹ × 439¹
LCM(68475,68484) = 1563147300