What is the Least Common Multiple of 84854 and 84873?

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 84854 and 84873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84854 and 84873, than apply into the LCM equation.

GCF(84854,84873) = 19
LCM(84854,84873) = ( 84854 × 84873) / 19
LCM(84854,84873) = 7201813542 / 19
LCM(84854,84873) = 379042818

Least Common Multiple (LCM) of 84854 and 84873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84854 and 84873. First we will calculate the prime factors of 84854 and 84873.

Prime Factorization of 84854

Prime Factorization of 84873

Now multiplying the highest exponent prime factors to calculate the LCM of 84854 and 84873.

LCM(84854,84873) = 2¹ × 7¹ × 11¹ × 19¹ × 29¹ × 3¹ × 1489¹
LCM(84854,84873) = 379042818