What is the Least Common Multiple of 68853 and 68873?

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 68853 and 68873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68853 and 68873, than apply into the LCM equation.

GCF(68853,68873) = 1
LCM(68853,68873) = ( 68853 × 68873) / 1
LCM(68853,68873) = 4742112669 / 1
LCM(68853,68873) = 4742112669

Least Common Multiple (LCM) of 68853 and 68873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68853 and 68873. First we will calculate the prime factors of 68853 and 68873.

Prime Factorization of 68853

Prime Factorization of 68873

Now multiplying the highest exponent prime factors to calculate the LCM of 68853 and 68873.

LCM(68853,68873) = 3¹ × 59¹ × 389¹ × 7¹ × 9839¹
LCM(68853,68873) = 4742112669