What is the Least Common Multiple of 68943 and 68947?

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 68943 and 68947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68943 and 68947, than apply into the LCM equation.

GCF(68943,68947) = 1
LCM(68943,68947) = ( 68943 × 68947) / 1
LCM(68943,68947) = 4753413021 / 1
LCM(68943,68947) = 4753413021

Least Common Multiple (LCM) of 68943 and 68947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68943 and 68947. First we will calculate the prime factors of 68943 and 68947.

Prime Factorization of 68943

Prime Factorization of 68947

Now multiplying the highest exponent prime factors to calculate the LCM of 68943 and 68947.

LCM(68943,68947) = 3¹ × 7³ × 67¹ × 68947¹
LCM(68943,68947) = 4753413021