What is the Least Common Multiple of 68475 and 68492?

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 68492 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 68492, than apply into the LCM equation.

GCF(68475,68492) = 1
LCM(68475,68492) = ( 68475 × 68492) / 1
LCM(68475,68492) = 4689989700 / 1
LCM(68475,68492) = 4689989700

Least Common Multiple (LCM) of 68475 and 68492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68475 and 68492. First we will calculate the prime factors of 68475 and 68492.

Prime Factorization of 68475

Prime Factorization of 68492

Now multiplying the highest exponent prime factors to calculate the LCM of 68475 and 68492.

LCM(68475,68492) = 3¹ × 5² × 11¹ × 83¹ × 2² × 17123¹
LCM(68475,68492) = 4689989700