What is the Least Common Multiple of 84860 and 84869?

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 84860 and 84869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84860 and 84869, than apply into the LCM equation.

GCF(84860,84869) = 1
LCM(84860,84869) = ( 84860 × 84869) / 1
LCM(84860,84869) = 7201983340 / 1
LCM(84860,84869) = 7201983340

Least Common Multiple (LCM) of 84860 and 84869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84860 and 84869. First we will calculate the prime factors of 84860 and 84869.

Prime Factorization of 84860

Prime Factorization of 84869

Now multiplying the highest exponent prime factors to calculate the LCM of 84860 and 84869.

LCM(84860,84869) = 2² × 5¹ × 4243¹ × 84869¹
LCM(84860,84869) = 7201983340